Question

Factors and Multiples
41
30. 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?​

Answer 1

Step-by-step explanation:

LCM of 50, 60, 75 and 100 = 2 × 2 × 5 × 5 × 3 = 300. Hence, At 300 cm [ 3m ] each will make a complete number of revolution.

Answer 2

Step-by-step explanation:

Factors of

50 = 2x5x5

60 = 2x2x3x5

90 = 2x3x3x5

10 = 2x2x5x5

LCM = 2x2x3x3x5x5 = 900

So after 18 complete rounds of 50 cm wheel, 15 complete rounds of 60 cm wheel, 10 complete rounds of 50 cm wheel, and 9 complete rounds of 100 cm wheel, will all the wheels synchronise.