Find the smallest square number that is divisible by each numbers 4, 9 and 10​

2 thoughts on “<br />Find the smallest square number that is divisible by each numbers 4, 9 and 10​”

1. Answer:

   L.C.M. of 4, 9 and 10 is 180.

   Prime factors of 180 = 2 x 2 x 3 x 3 x 5

   Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square.

   therefore 180×5=900

   Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.

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2. the smallest square number which is divisible by 4, 9 and 10 is 900.

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