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Question
The circumferences of four wheels are 50 cm, 60 cm, 75 cm, and 100 cm. They start moving simultaneously. What least distance should they cover so that each wheel makes a complete number of revolutions?
Solution
Distance covered by a wheel for one complete revolution = circumference of the wheel
All the wheels will make complete numbers of revolutions when the distances covered by them is equal to their LCM.
Required least distance = 5 × 5 ×2 × 2 × 3
= 25 × 4 × 3
= 300 cm = 3 m
So, each wheel will make a complete number of revolutions after travelling 3 m.
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