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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 599 · 40 questions
TalentJR

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. 1.Find the LCM of 18 and 42.
  2. 2.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  4. 4.Find the LCM of 3, 12 and 8.
  5. 5.Find the LCM of 3, 2 and 11.
  6. 6.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 6 and 9.
  9. 9.Find the LCM of 4, 8 and 7.
  10. 10.Find the LCM of 14, 2 and 12.
  11. 11.Find the HCF of 60 and 50.
  12. 12.Find the HCF of 10 and 8.
  13. 13.Find the HCF of 30 and 40.
  14. 14.Find the LCM of 15, 2 and 5.
  15. 15.Find the LCM of 42 and 12.
  16. 16.Find the HCF of 20 and 8.
  17. 17.Find the HCF of 84 and 96.
  18. 18.Find the HCF of 54 and 24.
  19. 19.Find the HCF of 117 and 52.
  20. 20.Find the HCF of 42 and 28.
  21. 21.Find the HCF of 126 and 56.
  22. 22.Find the LCM of 6, 8 and 10.
  23. 23.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  25. 25.Find the HCF of 30 and 80.
  26. 26.Find the LCM of 3, 7 and 15.
  27. 27.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  28. 28.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  29. 29.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  30. 30.Find the HCF of 4 and 10.
  31. 31.Find the LCM of 18 and 10.
  32. 32.Find the LCM of 48 and 54.
  33. 33.Find the LCM of 12 and 30.
  34. 34.Find the HCF of 45 and 27.
  35. 35.Find the HCF of 75 and 30.
  36. 36.Find the LCM of 10 and 45.
  37. 37.Find the LCM of 5, 15 and 12.
  38. 38.Find the LCM of 5 and 6.
  39. 39.Find the LCM of 4 and 7.
  40. 40.Find the HCF of 12 and 30.

Answer key

  1. 126
  2. 12
  3. 20
  4. 24
  5. 66
  6. 63
  7. 21
  8. 18
  9. 56
  10. 84
  11. 10
  12. 2
  13. 10
  14. 30
  15. 84
  16. 4
  17. 12
  18. 6
  19. 13
  20. 14
  21. 14
  22. 120
  23. 14
  24. 15
  25. 10
  26. 105
  27. 64
  28. 54
  29. 35
  30. 2
  31. 90
  32. 432
  33. 60
  34. 9
  35. 15
  36. 90
  37. 60
  38. 30
  39. 28
  40. 6

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