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TABLE OF CONTENTS Prospectus Supplement
INDEX TO FINANCIAL STATEMENTS
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Filed Pursuant to Rule 424(b)(3)
Registration No. 333-215858

PROSPECTUS SUPPLEMENT
(To prospectus dated September 19, 2017)

Liberty Media Corporation

17,697,330 Shares of

Series C Liberty Formula One Common Stock

          The selling stockholders identified in this prospectus supplement (the "Selling Stockholders") are selling an aggregate of 17,697,330 shares of Liberty Media Corporation ("Liberty Media") Series C Liberty Formula One common stock, par value $0.01 per share ("FWONK"). The underwriter has agreed to sell shares of FWONK on behalf of the Selling Stockholders at a price of $37.40 per share, which, after deducting underwriter's discounts and commissions of $0.20 per share, will result in approximately $658.3 million of aggregate proceeds to the Selling Stockholders, before deducting expenses.

          We will not receive any proceeds from the sale of shares of our common stock in this offering.

          Shares of FWONK are currently listed on The Nasdaq Global Select Market ("Nasdaq") under the symbol "FWONK." On September 19, 2017, the last sale price of shares of FWONK as reported on Nasdaq was $38.30 per share.

          Investing in these securities involves risks. You should carefully consider the matters described under the caption "Risk Factors" beginning on page S-10 of this prospectus supplement and on page 7 of the accompanying base prospectus.

          None of the Securities and Exchange Commission, any state securities commission, or any other regulatory body has approved or disapproved of these securities or determined if this prospectus supplement or the accompanying base prospectus is truthful or complete. Any representation to the contrary is a criminal offense.

          Delivery of the shares of FWONK is expected to be made on or about September 22, 2017.

Goldman Sachs & Co. LLC

The date of this prospectus supplement is September 19, 2017.

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Prospectus Supplement

Base Prospectus

You should rely only on the information we have provided or incorporated by reference in this prospectus supplement, the accompanying base prospectus or any related free writing prospectus we prepare or authorize. Neither we nor the Selling Stockholders have authorized any person to provide you with additional or different information. We take no responsibility for, and can provide no assurance to the reliability of, any other information that others may give you. This prospectus supplement and the accompanying base prospectus are an offer to sell only the shares offered hereby, but only under circumstances and in jurisdictions where it is lawful to do so. You should not assume that the information contained in this prospectus supplement, the accompanying base prospectus or any related free writing prospectus is accurate as of any date other than the dates shown in such documents or that any information we have incorporated by reference herein is accurate as of any date other than the date of the document incorporated by reference. Our business, financial condition, results of operations and prospects may have changed since such dates.

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ABOUT THIS PROSPECTUS SUPPLEMENT

          This document is in two parts. The first part is this prospectus supplement, which describes the specific terms of this offering of shares of FWONK by the Selling Stockholders and also adds, updates and changes information contained in the accompanying base prospectus and the documents incorporated herein by reference. The second part is the accompanying base prospectus, which gives more general information, some of which may not apply to this offering of shares of FWONK. Generally, when we refer only to the "prospectus," we are referring to both this prospectus supplement and the accompanying base prospectus combined. If the information relating to the offering varies between this prospectus supplement and the accompanying base prospectus, you should rely on the information in this prospectus supplement.

          Any statement made in this prospectus supplement or in a document incorporated or deemed to be incorporated by reference into this prospectus supplement will be deemed to be modified or superseded for purposes of this prospectus to the extent that a statement contained in this prospectus supplement or in any other subsequently filed document that is also incorporated by reference into this prospectus modifies or supersedes that statement. Any statement so modified or superseded will not be deemed, except as so modified or superseded, to constitute a part of this prospectus. Please read "Where To Find More Information" on page S-31 of this prospectus supplement.

          The Selling Stockholders are offering to sell, and seeking offers to buy, shares of FWONK only in jurisdictions where offers and sales are permitted. The distribution of this prospectus supplement and the accompanying base prospectus and the offering of shares of FWONK in certain jurisdictions may be restricted by law. Persons outside the United States who come into possession of this prospectus supplement and the accompanying base prospectus must inform themselves about, and observe any restrictions relating to, the offering of shares of FWONK by the Selling Stockholders and the distribution of this prospectus.

          None of Liberty Media, the Selling Stockholders, the underwriter or any of their respective representatives is making any representation to you regarding the legality of an investment in shares of FWONK by you under applicable laws. You should consult with your own advisors as to legal, tax, business, financial and related aspects of an investment in shares of FWONK.

MARKET AND INDUSTRY DATA

          Market and industry data and forecasts used in this prospectus supplement have been obtained from independent industry sources as well as from research reports prepared for other purposes. Although we believe these third-party sources to be reliable, we have not independently verified the data obtained from these sources and we cannot assure you of the accuracy or completeness of the data. Forecasts and other forward-looking information obtained from these sources are subject to the same qualifications and uncertainties as the other forward-looking statements in this prospectus supplement.

CAUTIONARY NOTE REGARDING FORWARD-LOOKING STATEMENTS

          Certain statements in this prospectus supplement, the accompanying base prospectus, any supplements to this prospectus supplement and the accompanying base prospectus and other documents that are and will be incorporated into this prospectus supplement and the accompanying base prospectus constitute forward-looking statements within the meaning of the Private Securities Litigation Reform Act of 1995, including statements regarding our business, product and marketing strategies; new service offerings; revenue growth and subscriber trends at Sirius XM (as defined herein); the recoverability of our goodwill and other long-lived assets; the performance of our equity affiliates; our projected sources and uses of cash; Sirius XM's stock

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repurchase program; the anticipated non-material impact of certain contingent liabilities related to legal and tax proceedings; the integration of Delta Topco (as defined herein) and by extension Formula 1 (as defined herein); and other matters arising in the ordinary course of business. In particular, statements under "Risk Factors" contain forward-looking statements. Where, in any forward-looking statement, we express an expectation or belief as to future results or events, such expectation or belief is expressed in good faith and believed to have a reasonable basis, but there can be no assurance that the expectation or belief will result or be achieved or accomplished. The following include some but not all of the factors (as they relate to our consolidated subsidiaries and equity affiliates) that could cause actual results or events to differ materially from those anticipated:

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consumer demand for our products and services and our ability to adapt to changes in demand;



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competitor responses to our businesses' products and services;



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uncertainties inherent in the development and integration of new business lines and business strategies;



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uncertainties associated with product and service development and market acceptance, including the development and provision of programming for satellite radio and telecommunications technologies;



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our significant dependence upon automakers;



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our businesses' ability to attract and retain subscribers in the future is uncertain;



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our future financial performance, including availability, terms and deployment of capital;



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the integration of Formula 1;



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our ability to successfully integrate and recognize anticipated efficiencies and benefits from the businesses we acquire;



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the ability of suppliers and vendors to deliver products, equipment, software and services;



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interruption or failure of our information technology and communication systems, including the failure of SIRIUS XM's satellites could negatively impact our results and brand;



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changes and uncertainties in the market for music rights;



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the outcome of any pending or threatened litigation;



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availability of qualified personnel;



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changes in, or failure or inability to comply with, government regulations, including, without limitation, regulations of the Federal Communications Commission and consumer protection laws, and adverse outcomes from regulatory proceedings;



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changes in the nature of key strategic relationships with partners, vendors and joint venturers;



•

general economic and business conditions and industry trends;



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consumer spending levels, including the availability and amount of individual consumer debt;



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rapid technological and industry changes;



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harmful interference our businesses' service may experience from new wireless operations;



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impairments by third-party intellectual property rights;

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our indebtedness could adversely affect operations and could limit the ability of our subsidiaries to react to changes in the economy or our industry;



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failure to protect the security of personal information about our businesses' customers, subjecting our businesses to potentially costly government enforcement actions or private litigation and reputational damage;



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capital spending for the acquisition and/or development of telecommunications networks and services;



•

the impact of AT&T's agreement to acquire Time Warner (as defined herein) on our 2.25% Exchangeable Senior Debentures due 2046;



•

the regulatory and competitive environment of the industries in which we, and the entities in which we have interests, operate; and



•

natural catastrophes, threatened terrorist attacks, political unrest in international markets and ongoing military action around the world.

          For additional risk factors, please see "Risk Factors" below and in the accompanying base prospectus, in Part I, Item 1A of our Annual Report on Form 10-K for the fiscal year ended December 31, 2016 and in Part II, Item 1A of our Quarterly Report on Form 10-Q for the quarterly period ended June 30, 2017. These forward-looking statements and such risks, uncertainties and other factors speak only as of the date of this prospectus supplement and we expressly disclaim any obligation or undertaking to disseminate any updates or revisions to any forward-looking statement contained herein, to reflect any change in our expectations with regard thereto, or any other change in events, conditions or circumstances on which any such statement is based.

          When considering such forward-looking statements, you should keep in mind the factors described in "Risk Factors" and other cautionary statements contained in this prospectus supplement and the accompanying base prospectus and in the documents incorporated by reference herein and therein. Such risk factors and statements describe circumstances which could cause actual results to differ materially from those contained in any forward-looking statement.

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RISK FACTORS

          An investment in shares of FWONK involves risk. Before investing in shares of FWONK, in addition to the other information incorporated by reference or included in this prospectus supplement and the accompanying base prospectus, including the risk factors described in Item 1A ("Risk Factors") of Part I of our annual report on Form 10-K for the fiscal year ended December 31, 2016 filed with the Securities and Exchange Commission on February 28, 2017 and in Item 1A ("Risk Factors") of Part II of our quarterly report on Form 10-Q for the quarter ended June 30, 2017 filed with the Commission on August 9, 2017, together with the matters addressed in the sections of this prospectus supplement and the accompanying base prospectus entitled "Cautionary Note Regarding Forward-Looking Statements," you should carefully consider the following risks. The occurrence of any of the events described as possible risks below and in the documents incorporated by reference could have a material adverse effect on the value of our common stock, including shares of FWONK. These risks are not the only ones facing our company. Additional risks not currently known to us or that we currently deem immaterial also may impair our business. See "Where to Find More Information."

Risk Factors Relating to this Offering and the Formula 1 Acquisition

Sales (or anticipated sales) of shares of FWONK that were issued in connection with the Formula 1 Acquisition or otherwise may negatively affect the trading price of shares of FWONK.

          In connection with the Formula 1 Acquisition, Liberty issued an aggregate of approximately 137 million shares of FWONK at the Second Closing (as defined herein) to the Formula 1 Selling Shareholders (as defined herein), the third party investors that agreed to acquire shares that would otherwise have been issued to the Formula 1 Selling Shareholders pursuant to certain investment agreements with those third party investors, and into treasury in connection with proposed placements to Formula 1 teams. Further, Delta Topco issued $351.0 million in Exchangeable Notes to the Formula 1 Selling Shareholders at the Second Closing. The Exchangeable Notes, which will mature 30 months after the date of the Second Closing, will be exchangeable by the holders at any time for shares of FWONK or, at Delta Topco's option, cash. $323.2 million in Exchangeable Notes will be exchanged by the Selling Stockholders immediately prior to the settlement and closing of the offer and sale of shares of FWONK by the Selling Stockholders pursuant to this prospectus supplement.

          Following this offering, and after giving effect to similar offerings in May and July of 2017 by the Formula 1 Selling Shareholders, we expect that the Formula 1 Selling Shareholders will hold an aggregate of 5,894,718 shares of FWONK, and will beneficially own 1,227,221 shares of FWONK issuable upon the exchange of their Exchangeable Notes, all of which will be subject to resale without restriction. In addition, all restrictions on resales of shares of FWONK by the third party investors, who collectively acquired 62 million shares of FWONK in connection with the Second Closing, have expired. As of the date of this prospectus supplement, all but one of these investors have registered the resale of their shares on an effective Form S-3 Registration Statement filed by Liberty Media on June 28, 2017.

          In connection with the offering of the shares of FWONK pursuant to this prospectus supplement, we have agreed, and our directors and executive officers and each Selling Stockholder who will retain following this offering a portion of the shares issued to it in connection with the Second Closing have separately agreed, to be subject to certain restrictions on our and their ability to sell shares of FWONK during the 45 days following the date of this prospectus supplement. The representatives may waive these restrictions on our ability, and the ability of our directors, executive officers and the Selling Stockholders who have executed these lock-up agreements, to sell shares

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of FWONK during this period in their sole discretion. For more information concerning these restrictions, see "Underwriting." Following the expiration of the 45 day lock-up period, such restrictions will terminate.

          The trading price of shares of FWONK (and any other series of Liberty Formula One common stock) could decline as a result of sales of a large number of shares of FWONK in the public market, or from the perception that these sales might occur. Furthermore, sales of a substantial number of shares of Liberty Formula One common stock in the public markets, or the perception that these sales might occur, could impair our ability to raise capital through a future sale of, or pay for acquisitions using, our equity securities.

The unaudited pro forma condensed consolidated financial statements included in this prospectus supplement are presented for illustrative and informational purposes only and are not necessarily indicative of Liberty Media's future financial position or results of operations.

          The unaudited pro forma condensed consolidated financial statements contained in this prospectus supplement are presented for illustrative purposes only, contain a variety of adjustments, assumptions and preliminary estimates and are not intended to represent the actual financial position or results of operations of Liberty Media had the Formula 1 Acquisition occurred on the dates indicated therein. See the sections entitled "Unaudited Pro Forma Condensed Consolidated Financial Statements" beginning on page F-71 and "Cautionary Note Regarding Forward-Looking Statements" beginning on page S-ii of this prospectus supplement. The actual financial positions and results of operations of Liberty Media and Formula 1 prior to the acquisition and that of Liberty Media following the acquisition may not be consistent with, or evident from, the unaudited pro forma condensed consolidated financial statements included in this prospectus supplement. In addition, the assumptions and preliminary estimates used in preparing the unaudited pro forma condensed consolidated financial statements included in this prospectus supplement may not be realized and may be affected by a variety of factors outside of the control of Liberty Media and Formula 1.

Formula 1 (as well as Liberty's strategic vision for it) is reliant upon the retention of certain key personnel and the hiring of strategically valuable personnel, and Formula 1 may lose or be unable to hire one or more of such personnel.

          Formula 1's commercial success is dependent to a considerable extent on the abilities and reputation of Formula 1's management. In connection with the Second Closing, Liberty hired new members of management for the Formula 1 team. The recently appointed Chairman and Chief Executive Officer, Chase Carey, has a wealth of experience over many decades in the media sector. Ross Brawn and Sean Bratches have also recently joined the Formula 1 management team as Managing Directors of Motor Sports and Commercial Operations, respectively, and bring to Formula 1 valuable experience in their respective fields. Formula 1 also benefits from the long standing tenure of its Chief Financial Officer Duncan Llowarch and General Counsel Sacha Woodward Hill, each of whom has 20 plus years of experience with Formula 1. If Liberty and Formula 1 are unable to make strategic hires to strengthen the management of Formula 1, or if we are unable to retain key personnel over the long-term, Liberty may be unable to recognize the anticipated benefits of the acquisition of Formula 1.

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USE OF PROCEEDS

          The Selling Stockholders will receive all of the net proceeds from the sale of their shares of FWONK. We will not receive any proceeds from the sale of shares of FWONK by the Selling Stockholders in this offering. See "Selling Stockholders." We are, however, responsible for expenses incident to the registration under the Securities Act of 1933, as amended (the "Securities Act"), of the offer and sale of the shares of FWONK by the Selling Stockholders.

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PRICE RANGE OF OUR SERIES C LIBERTY FORMULA ONE COMMON STOCK

Market Information

          On July 23, 2014, holders of Series A and Series B Liberty Media Corporation common stock of as of 5:00 p.m., New York City time, on July 7, 2014, the record date for the dividend, received a dividend of two shares of Series C Liberty Media Corporation common stock for each share of Series A or Series B Liberty Media Corporation common stock held by them as of the record date. The impact of the Series C Liberty Media Corporation common stock issuance has been reflected retroactively due to the treatment of the dividend as a stock split for accounting purposes.

          On November 4, 2014, Liberty Media completed the spin-off to its stockholders of common stock of a newly formed company called Liberty Broadband Corporation ("Liberty Broadband") (the "Broadband Spin-Off"). Shares of Liberty Broadband were distributed to the shareholders of Liberty as of a record date of October 29, 2014. At the time of the Broadband Spin-Off, Liberty Broadband was comprised of, among other things, (a) Liberty Media's former interest in Charter Communications, Inc. ("Charter"), (b) Liberty Media's former subsidiary TruePosition, Inc. ("TruePosition") (now known as Skyhook Holding, Inc. ("Skyhook")), (iii) Liberty Media's former minority equity investment in Time Warner Cable, Inc. ("Time Warner Cable"), (iv) certain deferred tax liabilities, as well as liabilities related to Time Warner Cable call options and (v) initial indebtedness, pursuant to margin loans entered into prior to the completion of the Broadband Spin-Off. In the Broadband Spin-Off, record holders of Series A, Series B and Series C Liberty Media Corporation common stock received one share of the corresponding series of Liberty Broadband common stock for every four shares of Liberty Media Corporation common stock held by them as of the record date for the Broadband Spin-Off, with cash paid in lieu of fractional shares.

          During November 2015, Liberty Media's board of directors authorized management to pursue a recapitalization of the Company's common stock into three new tracking stock groups, one to be designated as the Liberty Braves common stock, one to be designated as the Liberty Media common stock and one to be designated as the Liberty SiriusXM common stock (the "Recapitalization"), and to cause to be distributed subscription rights related to the Liberty Braves common stock following the creation of the new tracking stocks. The Recapitalization was completed on April 15, 2016 and the newly issued shares commenced trading or quotation in the regular way on the Nasdaq Global Select Market or the OTC Markets, as applicable, on Monday, April 18, 2016. In the Recapitalization, each issued and outstanding share of Liberty Media Corporation common stock was reclassified and exchanged for (a) 1 share of the corresponding series of Liberty SiriusXM common stock, (b) 0.1 of a share of the corresponding series of Liberty Braves common stock and (c) 0.25 of a share of the corresponding series of Liberty Media common stock on April 15, 2016. Cash was paid in lieu of the issuance of any fractional shares.

          Following the creation of the tracking stocks, Series A, Series B and Series C Liberty SiriusXM common stock trade under the symbols LSXMA/B/K, respectively; Series A, Series B and Series C Liberty Braves common stock trade or are quoted under the symbols BATRA/B/K respectively; and Series A, Series B and Series C Liberty Media common stock traded or were quoted under the symbols LMCA/B/K, respectively. Shortly following the closing of the acquisition of Formula 1 on January 23, 2017 (the "Second Closing"), what was formerly referred to as the Media Group and the Liberty Media common stock were renamed the Formula One Group (the "Formula One Group") and the Liberty Formula One common stock, respectively, and the corresponding ticker symbols for the Series A, Series B and Series C Liberty Media common stock were changed to FWONA/B/K, respectively. Each series (Series A, Series B and Series C) of the Liberty SiriusXM common stock trades on the Nasdaq Global Select Market. Series A and Series C Liberty Braves common stock trade on the Nasdaq Global Select Stock Market, and Series B Liberty Braves common stock is quoted on the OTC Markets. Series A and Series C Liberty Formula One common

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stock continue to trade on the Nasdaq Global Select Market and the Series B Liberty Formula One common stock continues to be quoted on the OTC Markets. Although the Second Closing, and the corresponding tracking stock name and the ticker symbol change, were not completed until January 23 and January 24, 2017, respectively, historical information of the Media Group and Liberty Media common stock is referred to herein as the Formula One Group and Liberty Formula One common stock, respectively.

          Our Series C Liberty Formula One common stock (formerly named Series C Liberty Media common stock) is listed on the Nasdaq under the symbol "FWONK." The following table sets forth, for the calendar quarters indicated, the range of high and low sales prices for FWONK as reported on the Nasdaq. The prices reflect Liberty Media's recapitalization into three tracking stock groups on April 15, 2016.

          The following tables set forth the range of high and low sales prices of shares of our common stock for the years ended December 31, 2016 and 2015. Series B Liberty Braves common stock and Series B Liberty Formula One common stock are each quoted on over-the-counter markets, and such over-the-counter market quotations reflect inter-dealer prices, without retail mark-up, mark-down or commission and may not necessarily represent actual transactions.

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          The last reported sale price of FWONK on the Nasdaq on September 19, 2017 was $38.30 per share.

Dividend Policy

          The declaration and payment of any dividends are at the discretion of our board of directors and depends upon our earnings, financial condition and other considerations deemed relevant by our board of directors. We have not paid any cash dividends on our Series C Liberty Formula One common stock, and we have no present intention of paying cash dividends on our Series C Liberty Formula One common stock in the future.

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SELLING STOCKHOLDERS

          This prospectus supplement and the accompanying base prospectus relate in part to the offer and sale by the Selling Stockholders of 17,697,330 shares of FWONK, which constitute shares of FWONK issued to the Selling Stockholders at the Second Closing of the Formula 1 Acquisition. The shares of FWONK offered pursuant to this prospectus supplement and the accompanying base prospectus were issued to the Selling Stockholders in transactions that were exempt from the registration requirements of the Securities Act. See "The Company — Description of the Formula 1 Acquisition" in the base prospectus for additional information regarding the Formula 1 Acquisition.

          In connection with the closing of the Formula 1 Acquisition, we entered into the Shareholders Agreement with the Formula 1 Selling Shareholders. Pursuant to the Shareholders Agreement, we agreed to file the registration statement of which this prospectus supplement and the accompanying base prospectus form a part covering the resale of the shares of FWONK offered by the Selling Stockholders. See "— The Shareholders Agreement" for additional information regarding the Shareholders Agreement.

          In the table below, the percentages of outstanding shares of FWONK held by each Selling Stockholder prior to and after this offering are based on 186,933,412 shares of FWONK issued and outstanding as of August 31, 2017 plus an additional 14,527,925 shares of FWONK, which will be issued to the Selling Stockholders upon the exchange of their Exchangeable Notes immediately prior to the settlement and closing of this offering. The number of shares offered by the Selling Stockholders may be increased or decreased depending upon various factors, including market conditions.