The least perfect square, which is divisible by each of 21, 36 and 66 is: Options: A . &nbsp213444 B . &nbsp214344 C . &nbsp214434 D . &nbsp231444

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:

Options:

A . 213444

B . 214344

C . 214434

D . 231444

Answer: Option A

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

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