To find the Least Common Multiple (LCM) of 42, 14, and 28, we follow these steps:

### 1. Prime Factorization:
- **42** = 2 × 3 × 7
- **14** = 2 × 7
- **28** = 2² × 7

### 2. Take the highest power of each prime factor:
- For **2**, the highest power is \(2^2\) (from 28).
- For **3**, the highest power is \(3^1\) (from 42).
- For **7**, the highest power is \(7^1\) (common in all three).

### 3. Multiply the highest powers:
\[
LCM = 2^2 \times 3^1 \times 7^1 = 4 \times 3 \times 7 = 84
\]

### Therefore, the LCM of 42, 14, and 28 is **84**.

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Here are 5 related questions to expand on the concept:
1. What is the GCD (Greatest Common Divisor) of 42, 14, and 28?
2. How would you find the LCM of 42 and 28 using division instead of prime factorization?
3. How does the LCM differ from the GCD in terms of application?
4. How do we find the LCM of more than three numbers?
5. Can you explain the relationship between LCM and GCD using an equation?

**Tip**: The LCM of two or more numbers is always divisible by each of the original numbers.

Discover how to find the Least Common Multiple (LCM) of 42, 14, and 28 through prime factorization. Learn the step-by-step process, including prime factor breakdown and applying the highest powers of each prime. Suitable for students in Grades 5-7.

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