Question

find the smallest square number that is divisible by each of the number 4 ,9 and 10​

Answer 1

L.C.M. of 4, 9 and 10 is 180. Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square. Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.

Answer 2

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.

therefore180 times 5=900

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