Lucy puts her caramel apples into goodie bags. Each goodie bag contains the same number of caramel apples. If she puts 3 caramel apples, 4 caramel apples or 5 caramel apples into each goodie bag, she will not have any caramel apples left. What is the smallest number of caramel apples Lucy have?
To be able to put caramel apples into goodie bags of 3, 4 or 5 and have nothing left, the number of caramel apples 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 caramel apples that Lucy has = 60

Answer(s): 60