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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

Respuesta :

frika

Answer:

60 weeks

Step-by-step explanation:

Factor both numbers 12 and 15:

  • [tex]12=2\cdot 2\cdot 3;[/tex]
  • [tex]15=3\cdot 5.[/tex]

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

[tex]LCM(12,15)=3\cdot 2\cdot 2\cdot 5=60.[/tex]

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

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