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Question 1-8

Cameron goes to the grocery store every 15 days. Brooks goes to the grocery store every 12 days. If both Cameron and Brooks go to the grocery
store today, how many days until they go to the grocery store on the same day again? Enter the answer in the box.
days

User Ky
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1 Answer

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Answer:

60

Explanation:

To find the least common multiple of 15 and 12, we can list the multiples of 15 and 12 and find the smallest number that appears in both lists:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

The least common multiple of 15 and 12 is 60, so Cameron and Brooks will go to the grocery store on the same day every 60 days.

User Chris Cap
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