Question

Machines a and t were both cleaned this week machine a is cleaned every 15 weeks and machine t is cleaned every 12 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

Answer:

60 weeks

Step-by-step explanation:

Factor both numbers 12 and 15:

• $12=2\cdot 2\cdot 3;$
• $15=3\cdot 5.$

Find LCM(12,15). The common factor is only 3, multiply ths common factor by all factors that remain. Then

$LCM(12,15)=3\cdot 2\cdot 2\cdot 5=60.$

This means that the fewest number of weeks that will pass before both machines are cleaned again in the same week is 60 weeks.