Question

find I'm each case the smallest perfect square divisible by the given number
2,4 and 5
​

Answer 1

Q9) Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.

Solution

Transcript

Solution:

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\times5=900∴180×5=900

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