Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.
Solution:
Let’s find L.C.M of 8, 10 and 12.
Therefore, L.C.M of 8, 10 and 12
.
Therefore, 120 is the smallest number which is exactly divisible by 8, 10 and 12. We need to find the greatest 3 digit number which is divisible by 8, 10 and 12. This number would be the multiple of 120. So, let’s find multiples of 120.
Therefore, 960 is the greatest 3 digit multiple of 120. It means that 960 is the greatest 3-digit number exactly divisible by 8, 10 and 12.
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