Esther puts her candy canes into goodie bags. Each goodie bag contains the same number of candy canes. If she puts 2 candy canes, 3 candy canes or 5 candy canes into each goodie bag, she will not have any candy canes left. What is the smallest number of candy canes Esther have?
To be able to put candy canes into goodie bags of 2, 3 or 5 and have nothing left, the number of candy canes must be divisible by 2, 3 and 5.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 5: 5, 10, 15, 20, 25, 30

LCM of 2, 3 and 5: 30

Smallest number of candy canes that Esther has = 30

Answer(s): 30