SOLUTION: every time i put children into groups of 3,4 or 6 two are left over .what is the least number of children i have ?

Question 549903: every time i put children into groups of 3,4 or 6 two are left over .what is the least number of children i have ?
Found 2 solutions by ankor@dixie-net.com, KMST:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
every time i put children into groups of 3,4 or 6 two are left over .what is the least number of children i have ?
:
Least common multiple of 3,4,6 is 12, add 2, 14 kids
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If you had 2 children less, you could put them into groups of 3,4 or 6, without any children left over. That would be possible if the number of children were a multiple of 3, 4, and 6. The least of all the multiples of 3,4, and 6 is 12, the minimum common multiple of those three numbers.
The least number of children you could have, if you always have 2 left over, is 14, 2 more than 12.
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