Question

Mike the mechanic has a machine which has four cog wheels in connection. The largest wheel has 242 teeth and the others have 66, 48 and 26, respectively. How many rotations must the largest wheel make before each of the wheels is back in its starting position?

Answer 1

LCM {242, 66,48,26}=75504
i.e. the largest the cog will have to rotate for 312 times for each of the wheel resetting to the start position