Answer:
5
Step-by-step explanation:
for the first gear
revolutions/teeth
1 / 24
2 / 48
3 / 72
4 / 96
5 / 120
6 / 144
for the second gear
revolutions/teeth
1 / 40
2 / 80
3 / 120
4 / 160
the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.
the way to get that amount of teeth is
[tex]24 = 2 \times 2 \times 2 \times 3 = {2}^{3} \times 3[/tex]
[tex]40 = 2 \times 2 \times 2 \times 5 = {2}^{3} \times 5[/tex]
the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.
[tex] {2}^{3} \times 5 \times 3 = 120[/tex]
120 teeth are 5 revolutions for gear1 and 3 por gear2
