Question

Q3. Three friends step off together. Their steps measure 40 cm, 48 cm, 45 cm respectively.
What minimum distance should each walk so that all can cover the distance in complete
Steps?​

Answer 1

Answer:

2520cm

Step-by-step explanation:

The minimum distance that all 3 should walk is the L.C.M. of 40,42,45

Since

40=2×2×2×5

42=2×3×7

45=3×3×5

Therefore,

L.C.M. of 40,42,45=2×2×2×3×3×5×7

=2520

=2520 cm

Answer 2

Answer:

720cm

Step-by-step explanation:

minimum distance = LCM of 40,48,45

40 = 2×2×2×5

48 = 2*2*2*2*3

45 = 3*3*5

=> LCM = 2*2*2*2*3*3*5

=> LCM = 720

so they must walk 720cm so all can cover distance in complete steps