There are between 78 and 97 beads in a box. The beads can be shared equally among 7 or 12 children. What is the greatest possible number of beads in the box?
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
Multiples of 12: 12, 24, 36, 48, 60, 72, 84
Lowest common multiple of 7 and 12 = 84
Multiples of 84: 84
Greatest possible number of beads = 84
Answer(s): 84