Find the greatest 3-digit number which is exactly divisible by 8, 20 and 24.

Question

KnowledgeBoat · Accepted Answer

First, we find the LCM of 8, 20 and 24. LCM of 8, 20 and 24 = 2 × 2 × 2 × 3 × 5 = 120. The greatest 3-digit number is 999. We divide 999 by 120 and find the remainder. The remainder is 39. The required greatest 3-digit number = 999 − 39 = 960. Hence, the greatest 3-digit number divisible by 8, 20 and 24 is 960.

Mathematics

Find the greatest 3-digit number which is exactly divisible by 8, 20 and 24.

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