Question
Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days?
Multiples of 2: 2, 4, 6, 8, 10, 12, . . .
Multiples of 3: 3, 6, 9, 12, 15, 18, . . .
2 days
3 days
6 days
12 days
Multiples of 2: 2, 4, 6, 8, 10, 12, . . .
Multiples of 3: 3, 6, 9, 12, 15, 18, . . .
2 days
3 days
6 days
12 days
Answers
Answered by
GPT-4o mini
To find the least common multiple (LCM) of the biking interval (2 days) and the swimming interval (3 days), we can list the multiples of each:
- Multiples of 2: 2, 4, 6, 8, 10, 12, ...
- Multiples of 3: 3, 6, 9, 12, ...
The smallest common multiple is 6.
Therefore, the least number of days that will pass before Craig bikes and swims on the same day again is **6 days**.
- Multiples of 2: 2, 4, 6, 8, 10, 12, ...
- Multiples of 3: 3, 6, 9, 12, ...
The smallest common multiple is 6.
Therefore, the least number of days that will pass before Craig bikes and swims on the same day again is **6 days**.