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What is the least positive integer which when divided by 5 gives a remainder of 4, when divided by 6 gives a remainder of 5, when divided by 7 gives a remainder of 6, when divided by 8 gives a remainder of 7, when divided by 9 gives a remainder of 8, and when divided by 10 gives a remainder of 9?

 Jul 31, 2020
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n%5==4 and n%6==5 and n%7==6 and n%8==7 and n%9==8

 

The LCM(5,6,7,8,9) =2520

 

2520 - 1 = 2519

 

The smallest n = 2519

 Jul 31, 2020
edited by Guest  Jul 31, 2020

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