Cathy 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 8 mini cupcakes into each goodie bag, she will not have any mini cupcakes left. What is the smallest number of mini cupcakes Cathy have?
To be able to put mini cupcakes into goodie bags of 3, 5 or 8 and have nothing left, the number of mini cupcakes must be divisible by 3, 5 and 8.
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, 108, 111, 114, 117, 120
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
LCM of 3, 5 and 8: 120
Smallest number of mini cupcakes that Cathy has = 120
Answer(s): 120