To find the first three common multiples of the given pairs of numbers, we start by determining the least common multiples (LCM) for each set.
Finding Common Multiples of 6 and 8
1. **Identify the multiples:**
- Multiples of 6: 6, 12, 18, 24, 30, 36, 42, …
- Multiples of 8: 8, 16, 24, 32, 40, …
2. **Find the common multiples:**
- The first common multiple is 24.
- The next common multiple is 48.
- The third common multiple is 72.
Thus, the first three common multiples of 6 and 8 are 24, 48, and 72.
Finding Common Multiples of 12 and 18
1. **Identify the multiples:**
- Multiples of 12: 12, 24, 36, 48, 60, …
- Multiples of 18: 18, 36, 54, 72, …
2. **Find the common multiples:**
- The first common multiple is 36.
- The next common multiple is 72.
- The third common multiple is 108.
Thus, the first three common multiples of 12 and 18 are 36, 72, and 108.
Summary
To summarize, the first three common multiples are:
- For 6 and 8: 24, 48, 72
- For 12 and 18: 36, 72, 108
These multiples reflect the smallest numbers that can be evenly divided by the original pairs of numbers, making them very useful in various mathematical applications.