Clowns! yes clowns!

Number Theory Level 1

A clown waves at people every 3 minutes A second clown waves every 4 minutes A third clown waves every 5 minutes

When will be the first time when all 3 clowns wave at the same time?

Please give your answers in minutes.


The answer is 60.

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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2 solutions

Syed Hamza Khalid
Oct 15, 2017

The LCM of 3,4,5 is 60, so the answer is 60 \large \color{magenta} \text{The LCM of 3,4,5 is 60, so the answer is 60}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Mohammad Farhat
Sep 2, 2018

Since 3,4 & 5 are coprime, LCM(3,4,5)=60

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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