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The least perfect square which is divisible by each of 21...

This question belongs to Arithmetic Ability Square Root And Cube Root
Square Root and Cube Root
?

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

Answer & Solution
Correct 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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