Question

find the least square number which is exactly divisible by each of the numbers 8,12,15,and 20.​

Answer 1

Answer:

3600

Step-by-step explanation:

First let's find the LCM of 8,12,15,and 20. Here is 2,3,5, are not in pairs, we need to in pairs for smallest square number. 120×2×3×5=120×30=3600. Hence the number is 2×2×2×2×3×3×5×5=3600.

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Answer 2

Answer:3600

Step-by-step explanation:

The first step would be to find the L.C.M. of the four numbers.

L.C.M.(8,12,15,20) = 120

Now, 120 = 2 x 2 x 2 x 3 x 5

To make it a perfect square, we need to make the powers of the prime factors even.

Thus, we need to multiply 120 by (2 x 3 x 5), that is, 30.

Hence, the smallest number is 120 x 30 = 3600

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