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What is the least possible number which ...

What is the least possible number which when divided by 18, 35 or 42 it leaves the 2, 19, 26 as the remainders respectively?

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Since the difference between the divisors and the respective remainders is same. Therefore , the least possible number
=(LCM of 18, 35 and 42) - 16 = 630 - 16 = 614 [`therefore` (18 - 2) = (35 - 19)=(42 - 26)= 16]
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