To find the Least Common Multiple (LCM) of 6, 4, and 8, we can follow the steps below:

### Step 1: Prime Factorization
- **6** can be factored as \( 2 \times 3 \).
- **4** can be factored as \( 2^2 \).
- **8** can be factored as \( 2^3 \).

### Step 2: Take the Highest Powers of All Prime Factors
- The highest power of \( 2 \) is \( 2^3 \) from 8.
- The highest power of \( 3 \) is \( 3 \) from 6.

### Step 3: Multiply the Highest Powers Together
\[
\text{LCM} = 2^3 \times 3 = 8 \times 3 = 24
\]

So, the LCM of 6, 4, and 8 is **24**.

Would you like more details or have any questions?

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Here are 8 related questions:
1. What is the LCM of 10, 15, and 20?
2. How can you find the LCM of multiple numbers using the listing method?
3. What is the LCM of 3, 7, and 21?
4. How is the LCM used in solving simultaneous equations?
5. What is the relationship between the LCM and the greatest common divisor (GCD)?
6. What is the LCM of 9, 12, and 18?
7. Can you find the LCM of two prime numbers?
8. How do you find the LCM using the prime factorization method?

**Tip:** When finding the LCM, always take the highest powers of all prime factors involved to ensure the correct result.

Learn how to find the Least Common Multiple (LCM) of 6, 4, and 8 with a step-by-step guide using the prime factorization method. This problem covers fundamental number theory concepts and arithmetic operations. Suitable for students in Grades 6-8.

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