Question

Three boys step off together from the same spot. Their steps measure 63 cm. 70 cm and 77 cm respectively. What is the minimum distance each should cover so that al can cover the distance in complete steps? ​

Answer 1

6930 cm.

Explanation:

To find the LCM, we can start by listing the prime factors of each number:

63 = 3 × 3 × 7

70 = 2 × 5 × 7

77 = 7 × 11

Next, we take the highest power of each prime factor that appears in the factorizations:

3² × 2 × 5 × 7 × 11 = 6930

Therefore, the minimum distance each boy should cover so that they can all cover the distance in complete steps is 6930 cm.