Dana puts her lollipops into goodie bags. Each goodie bag contains the same number of lollipops. If she puts 5 lollipops, 7 lollipops or 10 lollipops into each goodie bag, she will not have any lollipops left. What is the smallest number of lollipops Dana have?
To be able to put lollipops into goodie bags of 5, 7 or 10 and have nothing left, the number of lollipops 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 lollipops that Dana has = 70
Answer(s): 70
