Genevieve forgot the last two digits of her four-digit locker code: 21?? If the number is divisible hy 5,6, and 7, what is Genevieve's locker code?

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12-05-2017
Mathematics

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Genevieve forgot the last two digits of her four-digit locker code: 21?? If the number is divisible hy 5,6, and 7, what is Genevieve's locker code?

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Miracle808 Miracle808 · Answer 1 · 2017-05-12T07:05:09+02:00

Miracle808 Miracle808

12-05-2017

If a number is divisible by 5, 6, and 7,

it's divisible by 5 x 6 x 7 = 210, the least

common multiple of the numbers. So her number

is a multiple of 210. The only 4-digit multiple

is 210 that starts 210 _ is 2100, so that's her number.

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