Question

Machines a and t were both cleaned this week machine a is cleaned every 12 weeks and machine t is cleaned every 8 weeks what is the fewest number of weeks that will pass before both machines are cleaned again in the same week. Please show work LCM

Answer 1

12x2=24 8x3=24 , so all you needed was to multiply the week until you got the same answer for both

Answer 2

Answer:

The fewest number of weeks that will pass before both machines are cleaned again in the same week is 24 weeks.

Step-by-step explanation:

Given : Machines a and t were both cleaned this week machine a is cleaned every 12 weeks and machine t is cleaned every 8 weeks.

To find : What is the fewest number of weeks that will pass before both machines are cleaned again in the same week ?

Solution :

According to question,

We have take LCM of the numbers 12 and 8.

2 | 8  12

2 | 4   6

2 | 2   3

3 | 1   3

  | 1   1

$LCM(8,12)=2\times 2\times 2\times 3$

$LCM(8,12)=24$

Therefore, the fewest number of weeks that will pass before both machines are cleaned again in the same week is 24 weeks.