i-Ready
Practice: GCF and LCM - Practic
4) Here are some clues to a mystery number.
- One of my factors is 4 .
- When you pair me with 32, we have an LCM of 3 ?
- I am greater than 4 and less than 15.
4) What is the mystery number?
()) The mystery number is
Answer
Final Answer: The mystery number is \( \boxed{8} \).
Step 1 ：The mystery number is a number that has 4 as a factor, has an LCM of 32 with another number, and is between 4 and 15.
Step 2 ：The LCM of two numbers is the smallest multiple that is evenly divisible by both numbers. Since the LCM is 32 and one of the factors is 4, the mystery number must be a multiple of 4.
Step 3 ：The multiples of 4 between 4 and 15 are 4, 8, and 12. Since the mystery number is greater than 4, it can only be 8 or 12.
Step 4 ：However, the LCM of 4 and 32 is not 32, so the mystery number must be 8.
Step 5 ：Final Answer: The mystery number is \( \boxed{8} \).
