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Both radio stations will play the same song on the same day <u>5 times</u> in 30 days.
<u><em>Explanation</em></u>
A radio station plays yesterday by the Beatles once every 2 days. Another station plays the same song once every 3 days.
For finding the day on which both radio stations will play the same song, we will just <u>find the LCM(Least Common Multiplier) of 2 and 3</u>. So, the LCM will be 6.
That means, <u>on every 6th day, both radio stations will play the same song</u>.
So, the number of times that both radio stations will play the same song on the same day in 30 days