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If all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 1000, then how many whole numbers are left?

 Nov 17, 2020
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1000 / 3 = 333 multiples of 3

1000 / 4 =250 multiples of 4

 

333 + 250 =583 combined multiples of 3 and 4.

1000 / 12 =83 multiples of 12 which is double counted.

 

583 - 83 = 500 numbers will remain after removing all multiples of 3 and 4.

 Nov 17, 2020

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