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                                                                    EXHIBIT 23.4
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
We hereby consent to the use in the Prospectus constituting part of this
Registration Statement on Form S-4 (No. 333-      ) of Chancellor Media
Corporation of Los Angeles of our report dated May 2, 1997 relating to the
financial statements of Century Chicago Broadcasting, L.P., which appears in
such Prospectus. We also consent to the reference to us under the heading
"Experts" in such Prospectus.
 
PRICE WATERHOUSE LLP
 
Chicago, Illinois
September 25, 1997