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What is the largest four-digit number that is divisible by 3, 4, and 5 without any remainder?

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Explanation

The highest four-digit number is 9999. The least common multiple (LCM) of 3, 4, and 5 is 60. When 9999 is divided by 60, the remainder is 39. Subtracting this remainder from 9999 gives 9999 - 39 = 9960, which is the greatest number divisible by all three.

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