Penelope, Esther and Natalie were each given a piece of wire of equal length. Penelope cut hers into equal lengths of 6 m, Esther cut hers into equal lengths of 8 m, and Natalie 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 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 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 6 m, 8 m and 9 m
= 72 m
Answer(s): 72 m