Marion puts her sweets into goodie bags. Each goodie bag contains the same number of sweets. If she puts 2 sweets, 4 sweets or 7 sweets into each goodie bag, she will not have any sweets left. What is the smallest number of sweets Marion have?
To be able to put sweets into goodie bags of 2, 4 or 7 and have nothing left, the number of sweets must be divisible by 2, 4 and 7.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28
Multiples of 4: 4, 8, 12, 16, 20, 24, 28
Multiples of 7: 7, 14, 21, 28
LCM of 2, 4 and 7: 28
Smallest number of sweets that Marion has = 28
Answer(s): 28
