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Solution:
⇨ 4 = 2 x 2 x 1
⇨ 9 = 3 x 3 x 1
⇨ 10 = 2 x 5 x 1
⇨L.C.M (4,9,10) = 2 x 2 x 3 x 3 x 5 x 1
⇨L.C.M (4,9,10) = 180
⇨ Now prime factors of 180 will be
⇨ 180 = 2 x 2 x 3 x 3 x 5
⇨ Here we can see that there is no pair of factor 5.
⇨ So we multiply 180 by 5 to get the smallest perfect square divisible by 4, 9, 10
⇨ 180 x 5 = 900
Tags:
Math- Class 10