Lucy, Gem and Betty were each given a piece of wire of equal length. Lucy cut hers into equal lengths of 4 m, Gem cut hers into equal lengths of 8 m, and Betty cut hers into equal lengths of 9 m. If there were no remainder in each case, find the shortest length of wire given to each of them.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72
Shortest length of wire given to each of them
= Lowest common multiple of 4 m, 8 m and 9 m
= 72 m
Answer(s): 72 m
