Matthew goes swimming every 6 days and hiking every 8 days.how many days will pass before he does both activities on the same day?
What is the Least Common Multiple (LCM) of 6 and 8 ?
Just noticed that Steve had already answered this question for you.
https://www.jiskha.com/display.cgi?id=1507175220
Why did you re-post it ??
To find out how many days will pass before Matthew goes swimming and hiking on the same day, we need to determine the least common multiple (LCM) of the two numbers: 6 and 8.
To find the LCM, we can list the multiples of each number until we find a common multiple:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...
Multiples of 8: 8, 16, 24, 32, 40, ...
From the lists above, we can see that 24 is the smallest common multiple of 6 and 8.
Therefore, Matthew will go both swimming and hiking on the same day after 24 days.