Question

Four children step off together while going to school. Their steps measure 28cm,32cm, 36cm and 48cm. At what distance from the starting point will they step off together again?

Answer 1

Answer:

720 cm. Using Least Common Multiplier.

30 = 2 x 3 x 5

36 = 2 x 2 x 3 x 3

48 = 2 x 2 x 2 x 2 x 3

Using the highest occurrence of each prime number among the three numbers: 30, 36, and 48. For this case :

2 x 2 x 2 x 2 x 3x 3 x 5 = 16 x 9 x 5