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

  • A.213444

  • B.214344

  • C.214434

  • D.231444

Answer: A

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
\(= 22 \times 32 \times 72 \times 112\\ = 213444\)

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