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:

A) 276 B) 299 C) 322 D) 345

Answer 1

Answer:

HCF is 23. So the other two number would be, (23 * 13) and (23 * 14). Thus Larger Number = 23 * 14 = 322.

Answer 2

Answer:

Let the numbers be 23x and 23y where x and y are co-prime to each other.

∴ LCM = 23xy

As given,

23xy = 23 \times 13 \times 14

∴ x = 13, y = 14

∴ The larger number = 23y = 23 \times 14 = 322

So option [C] is correct answer.