To find the common multiples of 4, 6, and 8, we can follow these steps:
### Step 1: List the multiples of each number
- **Multiples of 4**:
- 4 × 1 = 4
- 4 × 2 = 8
- 4 × 3 = 12
- 4 × 4 = 16
- 4 × 5 = 20
- 4 × 6 = 24
- 4 × 7 = 28
- 4 × 8 = 32
- 4 × 9 = 36
- 4 × 10 = 40
- (Continue this pattern)
So, the multiples of 4 are: **4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...**
- **Multiples of 6**:
- 6 × 1 = 6
- 6 × 2 = 12
- 6 × 3 = 18
- 6 × 4 = 24
- 6 × 5 = 30
- 6 × 6 = 36
- 6 × 7 = 42
- 6 × 8 = 48
- 6 × 9 = 54
- 6 × 10 = 60
- (Continue this pattern)
So, the multiples of 6 are: **6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...**
- **Multiples of 8**:
- 8 × 1 = 8
- 8 × 2 = 16
- 8 × 3 = 24
- 8 × 4 = 32
- 8 × 5 = 40
- 8 × 6 = 48
- 8 × 7 = 56
- 8 × 8 = 64
- 8 × 9 = 72
- 8 × 10 = 80
- (Continue this pattern)
So, the multiples of 8 are: **8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...**
### Step 2: Identify the common multiples
Now, we need to find the numbers that appear in all three lists of multiples.
- From the multiples of 4: **4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...**
- From the multiples of 6: **6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...**
- From the multiples of 8: **8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...**
The common multiples from these lists are:
- **24** (appears in all three lists)
- **48** (appears in all three lists)
- **72** (appears in all three lists)
- **96** (appears in all three lists)
### Conclusion
The common multiples of 4, 6, and 8 are: **24, 48, 72, 96, ...** and so on.
