Question 8 Which of the following statements are TRUE? Select ALL that app 24 is a factor of 12 . If two numbers are prime, then their LCM is the product The least common multiple of 18 and 24 is 108 . 10 is a multiple of 10 . The least common multiple of 12,18 , and 24 is 6 . If one number is a multiple of of antsiher, the LCM of these two numbers is the smaller numbe Question Help: \( \begin{array}{l}\text {. }\end{array} \) Worked Example 1

Let's evaluate each statement one by one: 1. **24 is a factor of 12.** - **FALSE**: A factor of a number is a number that divides it without leaving a remainder. Since 12 is less than 24, 24 cannot be a factor of 12. 2. **If two numbers are prime, then their LCM is the product.** - **TRUE**: The least common multiple (LCM) of two prime numbers is indeed their product, as they have no common factors other than 1. 3. **The least common multiple of 18 and 24 is 108.** - **FALSE**: The LCM of 18 and 24 is 72. (18 = 2 × 3², 24 = 2³ × 3, so LCM = 2³ × 3² = 72.) 4. **10 is a multiple of 10.** - **TRUE**: Any number is a multiple of itself. 5. **The least common multiple of 12, 18, and 24 is 6.** - **FALSE**: The LCM of 12, 18, and 24 is 72. (12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3, so LCM = 2³ × 3² = 72.) 6. **If one number is a multiple of another, the LCM of these two numbers is the smaller number.** - **FALSE**: If one number is a multiple of another, the LCM is the larger number, not the smaller one. Based on this evaluation, the TRUE statements are: - If two numbers are prime, then their LCM is the product. - 10 is a multiple of 10. So the correct answers are the second and fourth statements.