Question

the least perfect square number which is divisible by 3,4,5,6 and 8 is​

Answer 1

Answer:

The least square number which is exactly divisible by 3, 4, 5. 6 and 8 = L.C.M of 3, 4. 5. 6 and 8

Now, L.C.M of 3, 4, 5, 6 and 8 is

L.C.M of 3,4, 5, 6 and 8 =

2×2

×2×3×5=120

Pair of 2, 3 and 5 is not completed. To make it a perfect square, the number should be multiplied with 2×3×5=50

Now, 120×50=3600

The least square number which is exactly divisible by 3, 4, 5, 6 and 8 is 3600.