What is the smallest positive 3 digit number that leaves a remainder of 2 when divided by 3, 4, 5 or 6?

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Details and assumptions
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The number $12=012$ is a 2 digit number, not a 3 digit number.

The answer is 122.

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lcm of 3, 4, 5, and 6 is 60 but 60 is not a 3 digit no. since 120 is a multiple of 60 120 + 2 = 122