Cathy puts her sweets into goodie bags. Each goodie bag contains the same number of sweets. If she puts 5 sweets, 8 sweets or 10 sweets into each goodie bag, she will not have any sweets left. What is the smallest number of sweets Cathy have?
To be able to put sweets into goodie bags of 5, 8 or 10 and have nothing left, the number of sweets must be divisible by 5, 8 and 10.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 10: 10, 20, 30, 40
LCM of 5, 8 and 10: 40
Smallest number of sweets that Cathy has = 40
Answer(s): 40
