There are between 84 and 97 beads in a box. The beads can be shared equally among 8 or 11 children. What is the greatest possible number of beads in the box?
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88
Lowest common multiple of 8 and 11 = 88
Multiples of 88: 88
Greatest possible number of beads = 88
Answer(s): 88