Quantitative Aptitude :: Square Root and Cube Root - Discussion

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

Now, 2772 = \(2 \times 2 \times 3 \times 3 \times 7 \times 11\)

To make it a perfect square, it must be multiplied by \(7 \times 11\).

So, required number = \(2^2 \times 3^2 \times 7^2 \times 11^2\) = 213444