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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 669 · 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 21 and 12.
  2. 2.Find the HCF of 24 and 16.
  3. 3.Find the LCM of 15 and 35.
  4. 4.Find the HCF of 42 and 12.
  5. 5.Find the LCM of 9 and 4.
  6. 6.Find the LCM of 24 and 15.
  7. 7.Find the LCM of 9 and 5.
  8. 8.Find the LCM of 4, 2 and 6.
  9. 9.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  10. 10.Find the LCM of 12, 5 and 15.
  11. 11.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  12. 12.Find the HCF of 70 and 56.
  13. 13.Find the LCM of 25 and 10.
  14. 14.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  15. 15.Find the LCM of 2, 13 and 5.
  16. 16.Find the HCF of 15 and 9.
  17. 17.Find the LCM of 42 and 18.
  18. 18.Find the HCF of 60 and 24.
  19. 19.Find the LCM of 2, 4 and 14.
  20. 20.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  21. 21.Find the LCM of 6, 12 and 8.
  22. 22.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  23. 23.Find the LCM of 15, 2 and 5.
  24. 24.Find the HCF of 90 and 105.
  25. 25.Find the LCM of 15 and 10.
  26. 26.Find the HCF of 70 and 28.
  27. 27.Find the LCM of 40 and 25.
  28. 28.Find the LCM of 30 and 25.
  29. 29.Find the LCM of 2, 4 and 5.
  30. 30.Find the LCM of 3, 5 and 6.
  31. 31.Find the LCM of 15 and 27.
  32. 32.Find the LCM of 6 and 7.
  33. 33.Find the HCF of 12 and 21.
  34. 34.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  35. 35.Find the LCM of 13, 14 and 2.
  36. 36.Find the HCF of 6 and 9.
  37. 37.Find the HCF of 104 and 91.
  38. 38.Find the LCM of 7 and 4.
  39. 39.Find the LCM of 25 and 20.
  40. 40.Find the LCM of 15, 2 and 6.

Answer key

  1. 84
  2. 8
  3. 105
  4. 6
  5. 36
  6. 120
  7. 45
  8. 12
  9. 40
  10. 60
  11. 27
  12. 14
  13. 50
  14. 64
  15. 130
  16. 3
  17. 126
  18. 12
  19. 28
  20. 14
  21. 24
  22. 81
  23. 30
  24. 15
  25. 30
  26. 14
  27. 200
  28. 150
  29. 20
  30. 30
  31. 135
  32. 42
  33. 3
  34. 48
  35. 182
  36. 3
  37. 13
  38. 28
  39. 100
  40. 30

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