Question

Q5. Find the smallest square number which is exactly divisible by 8,12,20​

Answer 1

First let's find the LCM of 8,12,15,and 20.

8=2×2×2

12=2×2×3

15=3×5

20=2×2×5

So the LCM is 2×2×2×3×5=120

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.

3600 is the right answer.

Answer 2

First let's find the LCM of 8,12,15,and 20.

8=2×2×2

12=2×2×3

15=3×5

20=2×2×5

So the LCM is 2×2×2×3×5=120

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.

3600 is the right answer.

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