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The integer m is greater than 7 and is the first of five consecutive integers that are, respectively, multiples of 3, 4, 5, 6, and 7.  Find the smallest such m.

 Dec 24, 2019
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The smallest n = 423

 

423 mod 3 = 0, 424 mod 4 = 0, 425 mod 5 = 0, 426 mod 6 = 0, 427 mod 7 = 0.

 Dec 24, 2019

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