LCM and HCF Practice Questions
Level: Basic
1. Find the LCM and HCF of 12 and 18.
2. Find the LCM and HCF of 24 and 36.
3. What is the LCM of 8 and 20?
4. What is the HCF of 56 and 98?
5. The HCF of two numbers is 6 and their LCM is 72. If one number is 12, find the other.
Level: Moderate
6. Find the HCF and LCM of 48, 60, and 72.
7. Two numbers are 36 and 48. Find their HCF and LCM and verify: HCF × LCM = Product of the numbers
8. The HCF of two numbers is 9 and their LCM is 108. If one number is 27, what is the other?
9. Find the smallest number which when divided by 12, 16, and 20 leaves a remainder of 2 in each case.
10. The product of two numbers is 540 and their HCF is 6. What is their LCM?
Level: Challenge
11. Three bells ring at intervals of 12, 15, and 20 minutes. At what time will they ring together again if they r
12. What is the greatest number that will divide 43, 91, and 183 leaving the same remainder in each case?
13. Find the least number which when divided by 5, 6, 7, and 8 leaves a remainder 3 in each case but is div
14. A, B, and C can complete a task in 12, 15, and 20 days respectively. What is the minimum number of d
15. The LCM of two numbers is 180 and their HCF is 6. If one number is 30, what is the other?
Level: Basic
1. Find the LCM and HCF of 12 and 18.
2. Find the LCM and HCF of 24 and 36.
3. What is the LCM of 8 and 20?
4. What is the HCF of 56 and 98?
5. The HCF of two numbers is 6 and their LCM is 72. If one number is 12, find the other.
Level: Moderate
6. Find the HCF and LCM of 48, 60, and 72.
7. Two numbers are 36 and 48. Find their HCF and LCM and verify: HCF × LCM = Product of the numbers
8. The HCF of two numbers is 9 and their LCM is 108. If one number is 27, what is the other?
9. Find the smallest number which when divided by 12, 16, and 20 leaves a remainder of 2 in each case.
10. The product of two numbers is 540 and their HCF is 6. What is their LCM?
Level: Challenge
11. Three bells ring at intervals of 12, 15, and 20 minutes. At what time will they ring together again if they r
12. What is the greatest number that will divide 43, 91, and 183 leaving the same remainder in each case?
13. Find the least number which when divided by 5, 6, 7, and 8 leaves a remainder 3 in each case but is div
14. A, B, and C can complete a task in 12, 15, and 20 days respectively. What is the minimum number of d
15. The LCM of two numbers is 180 and their HCF is 6. If one number is 30, what is the other?
