Give a quick stream of consciousness before answering the following question. The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
Options:
(A) 276
(B) 299
(C) 322
(D) 345
(E) 355
Clearly, the numbers are (23 * 13) and (23 * 14). Larger number = (23 * 14) = 322.
The answer: (C).