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Find the least square number exactly divisible by each one of the numbers 8, 12, 15 and 20.
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Find the least square number exactly divisible by each one of the numbers 8, 12, 15 and 20.
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Answer:
L.C.M. of 8, 15 and 20 is 120.
Prime factors of 120 = 2 x 2 x 2 x 3 x 5
Here, prime factors 2, 3 and 5 have no pair. Therefore 120 must be multiplied by 2 x 3 x 5 to make it a perfect square
120 x 2 x 3 x 5 = 3600
Hence, the smallest square number which is divisible by 8, 15 and 20 is 3600.