Bicycle wheels

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

Correct answer:

n =  11

Step-by-step explanation:

$$\begin{gathered} 54=2\cdot 3\cdot 3\cdot 3 \\ 22=2\cdot 11 \\ \text{LCM}(54,22)=594 \\ n=594\mathrm{/}54=11 \end{gathered}$$

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