LCM HCF L1

Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

  1. 75 m 60 cm
  2. 50 m 40 cm
  3. 25 m 20 cm
  4. 75 m 60 cm

Answer

Minimum distance will be LCM of 40 cm, 42 cm and 45 cm

40 = 23 x 5

42 = 2 x 3 x 7

45 = 32 x 5

LCM = 23 x 32 x 5 x 7 = 2520 cm

The correct option is C.