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There are three consecutive positive integers. The smallest one is a multiple of 3, the middle one is a multiple of 5 and the largest one is a multiple of 7. What is the smallest possible sum of those three integers?

 Jun 22, 2022
 #1
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By brute force

 

The middle one  is either     5, 10,15,20,25,30,35  etc.

 

The  integers are   54 , 55  and 56

 

Sum  =   165

 

 

 

 

cool cool cool

 Jun 22, 2022

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