Aman

Aman, Anna and Tina are participating in the school race. Anna completes a lap in 120 minutes, Aman completes a lap in 240 minutes and Tina completes a lap in 60 minutes. If they all started at the same time, then after how long will they meet again?

Correct result:

t =  240 min

Solution:

$$\begin{gathered} 120=2^3\cdot 3\cdot 5 \\ 240=2^4\cdot 3\cdot 5 \\ 60=2^2\cdot 3\cdot 5 \\ LCM(120,240,60)=2^4\cdot 3\cdot 5=240 \\ t=LCM(120,240,60)=240\text{ min} \end{gathered}$$

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