The least perfect square which is divisible by each of 21, 36 and 66 is = ?

A. 214344

B. 214434

C. 213444

D. 231444

Answer: Option C

Solution(By Examveda Team)

L.C.M. of (21, 36, 66)
= 21 × 12 × 11
= 7 × 3 × 4 × 3 × 11
= 7 × 3 × 2 × 2 × 3 × 11
For perfect square multiply by 7 × 11
So that pairs of number from perfect square
∴ 7 × 7 × 3 × 3 × 2 × 2 × 11 × 11
Required result is
= 213444 (which is a perfect square)