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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 all can cover the distance in complete steps?
Solution
Step measure of 1st Boy = 63 cm
Step measure of 2nd Boy = 70 cm
Step measure of 3rd Boy = 77 cm
LCM of 63, 70, 77
| 2 | 63, 70, 77 |
| 3 | 63, 35, 77 |
| 3 | 21, 35, 77 |
| 5 | 7, 35, 77 |
| 7 | 7, 7, 77 |
| 11 | 1, 1, 11 |
| 1, 1, 1 |
LCM = 2 × 3 × 3 × 5 × 7 × 11 = 6930
Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.
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