# Balls groups

Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?

Result

n =  84

#### Solution:

$4=2^2 \ \\ 6=2 \cdot 3 \ \\ 7 \ ... \ prime number \ \\ LCM(4, 6, 7)=2^2 \cdot 3 \cdot 7=84 \ \\ \ \\ n=LCM(4,6,7)=84$

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