Write the first five multiples of 6 and 8 . What is the LCM of 6 and 8 ?

Let's start by finding the first five multiples of both 6 and 8. ### Step 1: Find the first five multiples of 6 The multiples of a number can be found by multiplying that number by integers starting from 1. - \( 6 \times 1 = 6 \) - \( 6 \times 2 = 12 \) - \( 6 \times 3 = 18 \) - \( 6 \times 4 = 24 \) - \( 6 \times 5 = 30 \) So, the first five multiples of 6 are: **6, 12, 18, 24, 30**. ### Step 2: Find the first five multiples of 8 Similarly, we can find the multiples of 8. - \( 8 \times 1 = 8 \) - \( 8 \times 2 = 16 \) - \( 8 \times 3 = 24 \) - \( 8 \times 4 = 32 \) - \( 8 \times 5 = 40 \) So, the first five multiples of 8 are: **8, 16, 24, 32, 40**. ### Step 3: Find the LCM of 6 and 8 The Least Common Multiple (LCM) can be found by identifying the smallest multiple that is common to both lists of multiples. From the multiples we found: - Multiples of 6: **6, 12, 18, 24, 30** - Multiples of 8: **8, 16, 24, 32, 40** The smallest common multiple is **24**. ### Conclusion - The first five multiples of 6 are: **6, 12, 18, 24, 30**. - The first five multiples of 8 are: **8, 16, 24, 32, 40**. - The LCM of 6 and 8 is **24**.