Question

find the least square number which is divisible by 3,4,5 , 6 and 8 and state its square root also ​

Answer 1

Answer:

3600

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

Step-by-step explanation:

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.

The root of 3600 is 60