SOLUTION: Can someone please help me with this problem? Thank you! Determine how many complete revolutions each gear in the following must make before the arrows are lined up again:

Algebra ->  Equations -> SOLUTION: Can someone please help me with this problem? Thank you! Determine how many complete revolutions each gear in the following must make before the arrows are lined up again:       Log On


   

Question 331719: Can someone please help me with this problem? Thank you!
Determine how many complete revolutions each gear in
the following must make before the arrows are lined up
again:
Gear 1 = 40 teeth
Gear 2 = 24 teeth
Gear 3 = 60 teeth
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Determine how many complete revolutions each gear in
the following must make before the arrows are lined up
again:
Gear 1 = 40 teeth
Gear 2 = 24 teeth
Gear 3 = 60 teeth
:
Find the "least common multiple" prime factor each number
40:2*2*2*5
24:2*2*2*3
60:2*2*3*5
:
LCM = 2*2*2*3*5 = 120; divide by the no. of teeth of each gear
:
Gear 1: 3 rev
Gear 2: 5 rev
Gear 3: 2 rev