Problem 314
What is the shortest length of television cable that could be cut into either a whole number of 18-ft-pieces or a whole number of 30-ft-pieces?
Solution
We need to find LCM to find the shortest length.
18=2 x 3 x 3
30=2 x 3 x 5
LCM =2 x 3 x 3 x 5=90
So the shortest length of television cable will be 90 ft.