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Find the smallest square number which is completely divisible by 4, 9 and 10.

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Find the smallest square number which is completely divisible by 4, 9 and 10.

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L.C.M of 4, 9, 10 = 2 x 2 x 3 x 3 x 5 = 180

∵ There is no pair of 5.

∴ 5 is required to multiply

∴ 5 x 180 = 900 = 2 x 2 x 3 x 3 x 5 x 5

∴ Smallest required number = 900

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