We need to find the first day that is a multiple of 3, 2, and 4.
One way to do this is to start listing out the multiples of each number and look for the smallest one that they all have in common:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60...
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60...
The smallest number they all have in common is 12. So the three teams will next meet at the movie on the 12th day.
15. Team Green meets at the movie every 3 days, Team Yellow meets at the movie every 2 days, and Team Red meets at the movie every 4 days. When will all three teams meet at the movie on the same day?
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