Find the least number which is exactly divisible by 8,12,15 and 20
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the least number which is exacty divisible by 8, 12, 15 and 20 is 1.
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Hey friend,
Find the least number which is exactly divisible by 8,12,15 and 20
Answer:-
First,find the hcf 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
a number which is divisible by each of them should contain
2³x3x5
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
Hope it helps
Find the least number which is exactly divisible by 8,12,15 and 20
Answer:-
First,find the hcf 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
a number which is divisible by each of them should contain
2³x3x5
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
Hope it helps
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