Question

Q27. On the morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 4
cm, respectively. What is the minimum distance each should walk so that each can cover the same
distance in complete steps?​

Answer 1

Answer:

Since the three persons start walking together. 

∴, The minimum distance covered by each of them in complete steps = LCM of the measures of their steps 

=LCM(40,42,45)

40=2×2×2×5=23×5

42=2×3×7

45=3×3×5=32×5 

⇒LCM(40,42,45)=23×32×5×7=2520 

⇒ Each person should walk a minimum distance of 2520 cm in complete steps.