HCF and LCM Worksheet
The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.
NameDateTime takenScore ___ / 40
- 1.Find the LCM of 8, 11 and 2.
- 2.Find the HCF of 60 and 48.
- 3.Find the LCM of 24 and 20.
- 4.Find the HCF of 80 and 30.
- 5.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
- 6.Find the LCM of 3, 10 and 5.
- 7.Find the HCF of 56 and 70.
- 8.Find the LCM of 10 and 6.
- 9.Find the HCF of 20 and 28.
- 10.Find the HCF of 40 and 32.
- 11.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
- 12.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
- 13.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
- 14.Find the LCM of 36 and 32.
- 15.Find the HCF of 18 and 16.
- 16.Find the LCM of 18 and 24.
- 17.Find the HCF of 72 and 63.
- 18.Find the LCM of 5, 9 and 3.
- 19.Find the HCF of 12 and 9.
- 20.Find the LCM of 12, 7 and 8.
- 21.Find the LCM of 12, 9 and 3.
- 22.Find the LCM of 5 and 8.
- 23.Find the LCM of 14, 5 and 2.
- 24.Find the LCM of 6, 15 and 7.
- 25.Find the HCF of 21 and 14.
- 26.Find the HCF of 4 and 14.
- 27.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
- 28.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
- 29.Find the LCM of 2, 15 and 9.
- 30.Find the LCM of 28 and 8.
- 31.Find the HCF of 45 and 25.
- 32.Find the LCM of 5, 4 and 8.
- 33.Find the LCM of 15 and 9.
- 34.Find the LCM of 6, 4 and 5.
- 35.Find the LCM of 7, 4 and 14.
- 36.Find the LCM of 4, 3 and 6.
- 37.Find the LCM of 9 and 12.
- 38.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
- 39.Find the HCF of 8 and 20.
- 40.Find the LCM of 48 and 18.
Answer key
- 88
- 12
- 120
- 10
- 15
- 30
- 14
- 30
- 4
- 8
- 4
- 12
- 15
- 288
- 2
- 72
- 9
- 45
- 3
- 168
- 36
- 40
- 70
- 210
- 7
- 2
- 4
- 40
- 90
- 56
- 5
- 40
- 45
- 60
- 28
- 12
- 36
- 12
- 4
- 144
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude