Find the least natural number which when divided by 989 and 1892 leave a remainder 1

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Find the least natural number which when divided by 989 and 1892 leave a remainder 1

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Caroline 3 weeks 2021-08-20T19:20:30+00:00 1 Answer 0 views 0

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    2021-08-20T19:21:49+00:00

    Answer:

    43517

    Step-by-step explanation:

    for this first we have to find LCM(989,1892)

    989 = 23×43

    1892 = 2²×11×43

    ∴ LCM = 2²×11×23×43 =43516

    Required number = LCM+remainder 1 = 43516+1 = 43517

    verification: divide 43517 by 989 and 1892 we get remainder as 1

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