Question

What is the least perfect square number divisible by 2,3,5,6 and 8?

Answer 1

Sol;
To find least perfect square number which is divisible by 3, 4, 5, 6 and 8.first find LCM of these nos

LCM (3, 4, 5, 6 ,8) = 120

120 = 2 x 2 x 2 x 3 x 5.

As 2,3 and 5 are not in pair in LCM’s factor so we need to multiply 120 by 5 and 3,2 to make it a perfect square.

120 x 2 x 5 x 3 = 3,600.

∴ 3600 is the least perfect square divisible by 3, 4, 5, 6 and 8.