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What is the smallest positive 3 digit number that leaves a remainder of 2 when divided by 3 4 5 or 6?
Updated: 9/24/2023
Wiki User
∙ 10y agoBest Answer
122.
lcm(3, 4, 5, 6) = 60
Thus need the smallest number greater than or equal to 100 (the first 3-digit number) that is a multiple of 60 plus 2:
100 ÷ 60 = 1 r 40 → smallest multiple of 60 is 60 x 2 = 120
→ required number is 120 + 2 = 122
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