Which of the following statements are TRUE? Select ALL that 24 is a factor of 12 . The least common multiple of 12,18 , and 24 is 6. The least common multiple of 18 and 24 is 108. If two numbers are prime, then their LCM is the product of the two numbers. 10 is a multiple of 10 . If one number is a multiple of of another, the LCM of these two numbers is the smaller num

Let's evaluate each statement to determine if it is true or false: 1. **24 is a factor of 12.** - True. 24 divided by 12 equals 2, which is a whole number. Therefore, 24 is a factor of 12. 2. **The least common multiple of 12, 18, and 24 is 6.** - False. The least common multiple (LCM) of 12, 18, and 24 is not 6. The LCM of these numbers is actually 72. 3. **The least common multiple of 18 and 24 is 108.** - False. The LCM of 18 and 24 is not 108. The LCM is actually 72. 4. **If two numbers are prime, then their LCM is the product of the two numbers.** - True. If two numbers are prime, they have no common factors other than 1. Therefore, their LCM is simply the product of the two numbers. 5. **10 is a multiple of 10.** - True. 10 divided by 10 equals 1, which is a whole number. Therefore, 10 is a multiple of 10. 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. The LCM is the smallest number that is a multiple of both numbers. So, the true statements are: - 24 is a factor of 12. - If two numbers are prime, then their LCM is the product of the two numbers. - 10 is a multiple of 10.