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7 October, 13:28

What number nearest to 100,000 is exactly divisible by 2, 3, 4, 5, 6 and 7?

99,960

99,965

99,970

99,980

+2
Answers (1)
  1. 7 October, 17:00
    0
    First find the numbers with the factors of:

    2,3,4,5,6,7

    find the minum

    if something has a factor of 6 then it also has a factor of 3 and 2 so just multiply by the lcm of all of them which is found by

    2=2

    3=3

    4=2 times 2

    5=5

    6=2 times 3

    7=7

    LCM=2 times 2 times 3 times 5 times 7=420

    now divide 100000 by 420 and round down

    100000/420=238.095=238.1 round doen 238

    multiply 420 by 238 and get 99960

    that is the answer 99960
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