The smallest square number divisible by each of the numbers 8, 10 and 15
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16,100,225
Step-by-step explanation:
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Complete step by step solution:
Hence the number 3600 is the smallest square number divisible by each number 8, 15, and 20. Note: LCM of given numbers is exactly divisible by each of the numbers.
Step-by-step explanation:
Let us 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 nos 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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