The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 11 and 12. The larger of the two numbers is:  Choose the most appropriate option.
A) 338  B) 276  C) 322  D) 231  E) 121

Rationale: "clearly , the numbers are ( 23 * 11 ) and ( 23 * 12 ) . larger number = ( 23 * 12 ) = 276 . answer : b"
Answer: B