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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 379 · 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 16 and 36.
  2. 2.Find the LCM of 2, 7 and 13.
  3. 3.Find the HCF of 26 and 117.
  4. 4.Find the HCF of 40 and 25.
  5. 5.Find the HCF of 28 and 21.
  6. 6.Find the HCF of 105 and 30.
  7. 7.Find the HCF of 6 and 14.
  8. 8.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  10. 10.Find the HCF of 63 and 54.
  11. 11.Find the LCM of 8 and 20.
  12. 12.Find the LCM of 16 and 20.
  13. 13.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  14. 14.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  15. 15.Find the HCF of 42 and 30.
  16. 16.Find the LCM of 15 and 21.
  17. 17.Find the HCF of 40 and 45.
  18. 18.Find the LCM of 35 and 20.
  19. 19.Find the LCM of 2, 12 and 9.
  20. 20.Find the HCF of 10 and 12.
  21. 21.Find the HCF of 30 and 40.
  22. 22.Find the LCM of 4, 14 and 2.
  23. 23.Find the LCM of 14, 9 and 3.
  24. 24.Find the LCM of 4 and 18.
  25. 25.Find the HCF of 84 and 36.
  26. 26.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  28. 28.Find the LCM of 15, 12 and 10.
  29. 29.Find the LCM of 15, 7 and 6.
  30. 30.Find the LCM of 10, 8 and 2.
  31. 31.Find the HCF of 105 and 120.
  32. 32.Find the LCM of 5, 4 and 12.
  33. 33.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  34. 34.Find the LCM of 36 and 30.
  35. 35.Find the HCF of 4 and 14.
  36. 36.Find the LCM of 4 and 6.
  37. 37.Find the HCF of 50 and 40.
  38. 38.Find the LCM of 4, 3 and 15.
  39. 39.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?

Answer key

  1. 144
  2. 182
  3. 13
  4. 5
  5. 7
  6. 15
  7. 2
  8. 42
  9. 8
  10. 9
  11. 40
  12. 80
  13. 18
  14. 54
  15. 6
  16. 105
  17. 5
  18. 140
  19. 36
  20. 2
  21. 10
  22. 28
  23. 126
  24. 36
  25. 12
  26. 36
  27. 21
  28. 60
  29. 210
  30. 40
  31. 15
  32. 60
  33. 10
  34. 180
  35. 2
  36. 12
  37. 10
  38. 60
  39. 30
  40. 6

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