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We are looking for the lowest common multiple of 3, 4 & 5. This is 60 (3 * 20, 4 * 15 & 5 * 12). We add 2 to this so that the remainder will be 2 on division.

Therefore the smallest integer that meets these requirements is 62.

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Q: What is the smallest possible integer greater than 2 that when divided by 3 4 or 5 leaves a remainder of 2?
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