Let’s work through the problems to find the lowest common multiple (LCM) for each pair of numbers:

1. $4$ and $22$

Prime factors:

• $4 = 2^2$
• $22 = 2 \times 11$

LCM: $2^2 \times 11 = 44$

2. $6$ and $24$

Prime factors:

• $6 = 2 \times 3$
• $24 = 2^3 \times 3$

LCM: $2^3 \times 3 = 24$

3. $8$ and $6$

Prime factors:

• $8 = 2^3$
• $6 = 2 \times 3$

LCM: $2^3 \times 3 = 24$

4. $3$ and $4$

Prime factors:

• $3 = 3$ (prime)
• $4 = 2^2$

LCM: $2^2 \times 3 = 12$

5. $10$ and $23$

Prime factors:

• $10 = 2 \times 5$
• $23 = 23$ (prime)

LCM: $2 \times 5 \times 23 = 230$

6. $2$ and $4$

Prime factors:

• $2 = 2$
• $4 = 2^2$

LCM: $2^2 = 4$

Solutions:

1. $4, 22$: $44$
2. $6, 24$: $24$
3. $8, 6$: $24$
4. $3, 4$: $12$
5. $10, 23$: $230$
6. $2, 4$: $4$

Would you like detailed steps for any of these?

Here are five related questions:

1. What are the steps for finding the LCM using prime factorization?
2. How is the LCM used in solving fraction addition?
3. Can you explain how to find the greatest common divisor (GCD) of two numbers?
4. How is the relationship between LCM and GCD expressed mathematically?
5. What are real-world examples where finding the LCM is necessary?

Tip: To quickly estimate LCM, multiply the two numbers and divide by their GCD.