find the least squares NUMBER which is exactly divisible by each of the number 8,12,15and 20 . pls solve it
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Here is your answer dear⬇️⬇️
First of all, we will find the LCM of 8, 12, 15 and 20.
8=2×2×2=2³
12=2×2×3=2²×3
15=3×5
20=2×2×5=2²×5
= 2³×3×5
If it is a perfect square number,it should have even powers.
So,
2⁴×3²×5²=16×9×25
=3600
So,the answer is 3600
= 60
So the 3600 number is square.
First of all, we will find the LCM of 8, 12, 15 and 20.
8=2×2×2=2³
12=2×2×3=2²×3
15=3×5
20=2×2×5=2²×5
= 2³×3×5
If it is a perfect square number,it should have even powers.
So,
2⁴×3²×5²=16×9×25
=3600
So,the answer is 3600
So the 3600 number is square.
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