Jade puts her chocolate bars into goodie bags. Each goodie bag contains the same number of chocolate bars. If she puts 5 chocolate bars, 6 chocolate bars or 7 chocolate bars into each goodie bag, she will not have any chocolate bars left. What is the smallest number of chocolate bars Jade have?
To be able to put chocolate bars into goodie bags of 5, 6 or 7 and have nothing left, the number of chocolate bars 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 chocolate bars that Jade has = 210
Answer(s): 210