Question

find the least length of a rope which can be cut into whole number of pieces of lengths 45cm,75cm,and 81cm

Answer 1

the least length of the rope is given by the LCM of the individual measurements. so, take the LCM of 45, 75, 81
45=3*3*5
75=3*5*5
81=3*3*3*3

therefore, LCM=3*3*3*3*5*5=2025 cm or 20 1/4 m