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                                                                    EXHIBIT 23.4
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
We hereby consent to the incorporation by reference in the Registration
Statements on Form S-8 (33-83124 and 333-04379) of Evergreen Media Corporation
of our report dated May 2, 1997 relating to the financial statements of Century
Chicago Broadcasting, L.P., which appears on page D-1 of this Form 8-K.
 
PRICE WATERHOUSE LLP
 
Chicago, Illinois
June 3, 1997
