Cindy puts her mochi balls into goodie bags. Each goodie bag contains the same number of mochi balls. If she puts 3 mochi balls, 4 mochi balls or 5 mochi balls into each goodie bag, she will not have any mochi balls left. What is the smallest number of mochi balls Cindy have?
To be able to put mochi balls into goodie bags of 3, 4 or 5 and have nothing left, the number of mochi balls must be divisible by 3, 4 and 5.
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 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
LCM of 3, 4 and 5: 60
Smallest number of mochi balls that Cindy has = 60
Answer(s): 60
