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#1 2015-02-11 10:07:57
The least perfect square, which is divisible by?
Question:
The least perfect square, which is divisible by each of 21, 36 and 66 is:
Option A):
214434
Option B):
231444
Option C):
214344
Option D):
213444
Correct Answer is Option D):
213444
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
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