Prime factorization

Question

for a school lunch program, fruits can be bought in lots of 42, small boxes of milk can be bought in boxes of 30, and sandwhiches can be bought in packages of 18. If each student receives one fruit, one box of milk, and one sandwich, what is the least number of students that can be served so that there are no leftover fruits, milk or sandwiches?

Answer 1

42 = 7•2•3

30= 5•2•3

18 = 2•3²

 

To solve this problem, we need the LEAST COMMON MULTIPLE, which will be 5•7•2•3²

which is 630.