Opal puts her mini cupcakes into goodie bags. Each goodie bag contains the same number of mini cupcakes. If she puts 3 mini cupcakes, 5 mini cupcakes or 6 mini cupcakes into each goodie bag, she will not have any mini cupcakes left. What is the smallest number of mini cupcakes Opal have?
To be able to put mini cupcakes into goodie bags of 3, 5 or 6 and have nothing left, the number of mini cupcakes must be divisible by 3, 5 and 6.
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 5: 5, 10, 15, 20, 25, 30
Multiples of 6: 6, 12, 18, 24, 30
LCM of 3, 5 and 6: 30
Smallest number of mini cupcakes that Opal has = 30
Answer(s): 30
