Problema Solution
A gear with 31 teeth is engaged with another gear that has 24 teeth. How many turns of the first gear are necessary in order for the two gears to return to their original positions?
Answer provided by our tutors
This also is a Least Common Multiple problem.
First we need to find the Least Common Multiple for 31 and 24:
LCM(31, 24) = 744
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click here to see the calculation of LCM(31,24)
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The first gear will make 744 : 31 = 24 turns in order for the two gears to return to their original position.