Math, asked by jitesh52, 1 year ago

find the smallest square number which is divisible by each of the numbers 4 9 and 10 ​

Answers

Answered by Siddharta7
36

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

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

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

= 180 * 5

= 900

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

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