Irene puts her sweets into goodie bags. Each goodie bag contains the same number of sweets. If she puts 5 sweets, 6 sweets or 7 sweets into each goodie bag, she will not have any sweets left. What is the smallest number of sweets Irene have?
To be able to put sweets into goodie bags of 5, 6 or 7 and have nothing left, the number of sweets must be divisible by 5, 6 and 7.
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, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210
LCM of 5, 6 and 7: 210
Smallest number of sweets that Irene has = 210
Answer(s): 210