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

Question:
The least perfect square, which is divisible by each of 21, 36 and 66 is:

[A].

213444

[B].

214344

[C].

214434

[D].

231444

Answer: Option A

Explanation:

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 22 x 32 x 72 x 112 = 213444