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Question

Find the smallest perfect square divisible by 3,4 5 and 6.


A

441

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B

257

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C

408

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D

153

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Solution

The correct option is B

257


LCM of 3,4,5,and 6 is 60.

60 can be written as 2 x 2 x 5 x 3

60 must be multiplied with 5 x 3 to get a perfect square

60 x 5 x 3 = 900

Hence, the smallest perfect square divisible by 3,4 5 and 6 is 900.


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