Question

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


please reply step by step​

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  

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.

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Answer 2

Answer:

3600

Step-by-step explanation:

Calculation:

3 = 3 x 1

4 = 2 x 2

5 = 5 x 1

6 = 3 x 2

8 = 2 x 2 x 2

LCM of 3, 4, 5, 6, and 8 = 2 x 2 x 2 x 3 x 5 = 120

2, 3, and 5 are not completed to make perfect square:

120 x 2 x 3 x 5 = 3600

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

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