Find the smallest 3-digit number that is exactly divisible
by 6,15,18
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Step-by-step explanation:
First, find the Least Common Multiple of 6, 8 and 12. Simply break down each of those numbers into its prime factors and then multiply those factors as many times as they were needed to generate 6, 8 and 12
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LCM of 6, 15 & 18 = 180
The smallest 3-digit number that is divisible by 6, 15 and 18 will also be divided by 180.
[180×1] = 180 (3-digit no.)
Therefore, the smallest 3-digit number that is exactly divisible by 6, 15 and 18 is 180.
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