Penelope puts her lollipops into goodie bags. Each goodie bag contains the same number of lollipops. If she puts 3 lollipops, 5 lollipops or 7 lollipops into each goodie bag, she will not have any lollipops left. What is the smallest number of lollipops Penelope have?
To be able to put lollipops into goodie bags of 3, 5 or 7 and have nothing left, the number of lollipops must be divisible by 3, 5 and 7.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105

LCM of 3, 5 and 7: 105

Smallest number of lollipops that Penelope has = 105

Answer(s): 105