Winnie puts her mochi balls into goodie bags. Each goodie bag contains the same number of mochi balls. If she puts 5 mochi balls, 7 mochi balls or 10 mochi balls into each goodie bag, she will not have any mochi balls left. What is the smallest number of mochi balls Winnie have?
To be able to put mochi balls into goodie bags of 5, 7 or 10 and have nothing left, the number of mochi balls must be divisible by 5, 7 and 10.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Multiples of 10: 10, 20, 30, 40, 50, 60, 70
LCM of 5, 7 and 10: 70
Smallest number of mochi balls that Winnie has = 70
Answer(s): 70