Bicycle wheels

Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?

Result

n =  11

Solution:

54=2⋅3⋅3⋅3 22=2⋅11  LCM(54,22)=594 n=594/54=1154 = 2 \cdot 3 \cdot 3 \cdot 3 \ \\ 22 = 2 \cdot 11 \ \\ \ \\ \text{LCM}(54, 22) = 594 \ \\ n = 594/54 = 11

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