Find the least square number exactly divisible by each one of the numbers 8, 12, 15, 20
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Answered by
6
Answer:
first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20
2*2*2*5*3=120
Then
as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30
so,
least perfect square number which is divisible by each of numbers 8 12 15 and 20
=120*30=3600
Step-by-step explanation:
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Answered by
2
Step-by-step explanation:
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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