Question

on a morning walk, three persons step off together and their steps measure 40 cm, 42 cm, amd 45 cm respectively. what is the minimum number of distance each should walk so that each can cover the same distance in complete steps?

Answer 1

Step-by-step explanation:

We have,

LCM of 40 cm, 42 cm and 45 cm

 Now,

, By removing many of the least common ,

 40 = 2 × 2 × 2 × 5,

 42 = 2 × 3 × 7

45 = 3 × 3 × 5

lcm On keeping

∴ LCM (40, 42, 45)

= 2 × 3 × 5 × 2 × 2 × 3 × 7

= 30 × 12 × 7

= 210 × 12

= 2520

We received 2520 cm

Answer 2

LCM of 40,42,45

Now, By removing many of least common...

40=2×2×2×5

42=2×3×7

45=3×3×5

Hence, LCM (40,42,45) = 2520 cm