A number, when divided by 2,3,4,5,6 and 7 leaves 1 as remainder find the number​

Question

A number, when divided by 2,3,4,5,6 and 7 leaves 1 as remainder find the number​

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1 month 2021-09-17T07:51:02+00:00 1 Answer 0 views 0

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  1. Emma
    0
    2021-09-17T07:52:21+00:00

    Step-by-step explanation:

    The required number is 301. Step-by-step explanation: we have to find a number that is divisible by 2, 3, 4, 5, and 6 (meaning that it is a multiple of those numbers) and that number + 1 being divisible by 7.

    The least common multiple of 2, 3, 4, 5, 6 is their LCM=60.

    So, the answer is the least number such that it is a multiple of 7 and a multiple of 60 leaving remainder 1.

    ∴The required answer is 301.

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