The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 15 and 16. The larger of the two numbers is:  Choose the correct option.
A) 338 B) 278 C) 322 D) 368 E) 121

Rationale: clearly , the numbers are ( 23 * 15 ) and ( 23 * 16 ) . larger number = ( 23 * 16 ) = 368 . answer : d
Answer: D