chose a number between 55 and 101 that is a multiple of 3,6, and 7

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13-04-2015
Mathematics

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chose a number between 55 and 101 that is a multiple of 3,6, and 7

Sagot :

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RedRicin RedRicin · Answer 1 · 2015-04-13T09:48:52-04:00

RedRicin RedRicin

13-04-2015

Use prime factorization.

3 = 3
6 = 3 × 2
7 = 7

So the lowest common factor is 2*3*7 (drop the other 3 because it's a duplicate) which is equal to 42. Any multiple of that will be a multiple of 3, 6, and 7.

So all we need is a multiple of 42 which is between 55 and 101, which would be 84.

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