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 5 and 3.
- 2.Find the LCM of 10, 15 and 5.
- 3.Find the LCM of 28 and 8.
- 4.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
- 5.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
- 6.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
- 7.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
- 8.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
- 9.Find the LCM of 16 and 12.
- 10.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
- 11.Find the HCF of 18 and 63.
- 12.Find the LCM of 35 and 10.
- 13.Find the HCF of 70 and 56.
- 14.Find the LCM of 12, 4 and 6.
- 15.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
- 16.Find the LCM of 35 and 15.
- 17.Find the LCM of 40 and 15.
- 18.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
- 19.Find the LCM of 11, 5 and 2.
- 20.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
- 21.Find the LCM of 18 and 15.
- 22.Find the HCF of 32 and 24.
- 23.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
- 24.Find the HCF of 40 and 16.
- 25.Find the LCM of 30 and 48.
- 26.Find the LCM of 30 and 12.
- 27.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
- 28.Find the LCM of 32 and 20.
- 29.Find the HCF of 55 and 99.
- 30.Find the HCF of 60 and 45.
- 31.Find the LCM of 16 and 18.
- 32.Find the HCF of 36 and 20.
- 33.Find the LCM of 8 and 5.
- 34.Find the LCM of 28 and 20.
- 35.Find the LCM of 25 and 20.
- 36.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
- 37.Find the LCM of 5, 4 and 12.
- 38.Find the LCM of 15, 12 and 6.
- 39.Find the LCM of 7 and 9.
- 40.Find the LCM of 42 and 54.
Answer key
- 15
- 30
- 56
- 25
- 36
- 32
- 20
- 15
- 48
- 56
- 9
- 70
- 14
- 12
- 81
- 105
- 120
- 63
- 110
- 63
- 90
- 8
- 9
- 8
- 240
- 60
- 63
- 160
- 11
- 15
- 144
- 4
- 40
- 140
- 100
- 10
- 60
- 60
- 63
- 378
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude