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Q.

Find the smallest square no. which is divisible by each of the numbers 8, 15 and 20


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a

3500

b

3600

c

3800

d

3200 

answer is B.

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Detailed Solution

We have to find LCM of 8, 15 and 20
8=2×2×2
15=3×5
20=2×2×5
So, LCM =2×2×2×3×5=120.
For which are not in pairs in LCM factors, we need to multiply 120 by 2, 3 and 5 to make it a perfect square.
Required Number =120×2×3×5 = 3600
 
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