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22 April, 17:09

Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.

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  1. 22 April, 20:19
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    Because all numbers that are divisible by 10 is divisible by 5, all numbers that are divisible by 8 is divisible by 2 and 4, all numbers divisible by 6 is divisible by 2 and 3, we only need to find the smallest common multiple of 6,7,8,9,10 and 11

    find the prime factors of each:

    2,3

    7

    2,2,2,

    3,3,

    2,5,

    11

    factors that are shared can be used only once, so we have:

    2*7*3*11*3*2*5*2=27720
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