Find the least number which when divided by 16, 36 and 40 leaves 5 as – InterviewSolution

1.	Find the least number which when divided by 16, 36 and 40 leaves 5 as remainder ineach case.
Answer» On subtracting 5 from each number:16 − 5 = 1136 − 5 = 3140 − 5 = 35The required number will be the least common multiple of 11, 31 and 35.L.C.M. of 11, 31 and 35 = 11×31×35 = 11935This is because they do not have any factor in common.So, 11935 is the required number.

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