Lesson 6: Least Common Multiple — Practice Questions

1. 1. What is the least common multiple (LCM) of $9$ and $12$? ___

2. 2. Which of the following numbers is the least common multiple (LCM) of $10$ and $15$?

   • A. 15
   • B. 30
   • C. 45
   • D. 60

3. 3. Find the least common multiple (LCM) of the numbers $3$, $5$, and $10$. The LCM is ___.

4. 4. What is the least common multiple (LCM) of $4$ and $11$?

   • A. 1
   • B. 22
   • C. 44
   • D. 88

5. 5. By listing multiples, find the least common multiple (LCM) of $8$ and $14$. The LCM is ___.

6. 6. What is the least common multiple (LCM) of 9 and 15? The answer is ___.

7. 7. What is the least common multiple (LCM) of 50 and 75?

   • A. 25
   • B. 75
   • C. 150
   • D. 3750

8. 8. Two runners are on a circular track. One completes a lap every 8 minutes, and the other every 10 minutes. If they start together, they will meet at the starting line again in ___ minutes.

9. 9. The prime factorization of a number is $2 \cdot 3^2$ and another is $2^2 \cdot 3$. What is their least common multiple (LCM)?

   • A. $2 \cdot 3$
   • B. $2^2 \cdot 3^2$
   • C. $2^3 \cdot 3^3$
   • D. $2 \cdot 3 \cdot 2 \cdot 3$

10. 10. Using prime factorization, find the least common multiple (LCM) of 12 and 30. The factorization of 12 is $2^2 \cdot 3$ and 30 is $2 \cdot 3 \cdot 5$. The LCM is ___.