Question

If a = 2³ x 3, b = 2 x 3, c = 3n x 5 and L.C.M. of (a, b, c) = 2³ x 3² x 5, then n = 

(A) 1

(B) 3

(C) 2

(D) 4

Answer 1

Correct option is (C) 2 

Highest power of 3 in LCM = 2

But highest power of 3 in a or b = 1

\(\therefore \) Highest power of 3 in c should be = 2

\(\therefore \) n = 2