The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 12 and 13. The larger of the two numbers is:  Choices: A) 299 B) 278 C) 322 D) 231 E) 121

Rationale: "clearly , the numbers are ( 23 * 12 ) and ( 23 * 13 ) . larger number = ( 23 * 13 ) = 299 . answer : a"
Answer: A