1)

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 :


A) 276

B) 299

C) 322

D) 345

Answer:

Option C

Explanation:

Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.

Note: HCF means, Higest Common Factor, so we already have one factor of the number we need to find out and we are also given the least common factors ie, 13 n 14. So to get the numbers just multiply both the Least common numbers with their HCF so that you can find the actual numbers.