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

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

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* 2* 2* 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.