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What is the smallest integer greater than 1 that leaves a remainder of 1 when divided by any of the integers 6,8 and 10?

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apologiabiology

it leaves a remainder of 3
that means is it NOT a multipule of 6 or 8 or 10
it has to be more than 10 though
6x+1=8y+1=10z+1
subtract 1 from everybody
6x=8y=10z
so basically what is the least common multplule and then add 1
LCM

factor
6=23
8=222
10=25
therefor the LCM=22235=120
then add 1
120+1=121

the smallest intege is 121

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