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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 303 · 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.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  2. 2.Find the HCF of 20 and 90.
  3. 3.Find the LCM of 15, 7 and 6.
  4. 4.Find the LCM of 4, 2 and 14.
  5. 5.Find the HCF of 36 and 20.
  6. 6.Find the HCF of 63 and 14.
  7. 7.Find the LCM of 5 and 3.
  8. 8.Find the LCM of 12, 3 and 4.
  9. 9.Find the HCF of 56 and 24.
  10. 10.Find the LCM of 15 and 12.
  11. 11.Find the HCF of 135 and 105.
  12. 12.Find the HCF of 56 and 35.
  13. 13.Find the LCM of 28 and 20.
  14. 14.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  16. 16.Find the HCF of 36 and 8.
  17. 17.Find the HCF of 21 and 24.
  18. 18.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  19. 19.Find the LCM of 42 and 12.
  20. 20.Find the LCM of 14, 5 and 15.
  21. 21.Find the HCF of 48 and 56.
  22. 22.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  23. 23.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  25. 25.Find the LCM of 20 and 15.
  26. 26.Find the HCF of 40 and 15.
  27. 27.Find the LCM of 14 and 10.
  28. 28.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  29. 29.Find the HCF of 14 and 18.
  30. 30.Find the LCM of 24 and 27.
  31. 31.Find the HCF of 65 and 26.
  32. 32.Find the LCM of 8 and 12.
  33. 33.Find the HCF of 49 and 28.
  34. 34.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  35. 35.Find the LCM of 36 and 32.
  36. 36.Find the LCM of 3 and 7.
  37. 37.Find the LCM of 12, 4 and 13.
  38. 38.Find the LCM of 54 and 42.
  39. 39.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  40. 40.Find the LCM of 3, 15 and 2.

Answer key

  1. 12
  2. 10
  3. 210
  4. 28
  5. 4
  6. 7
  7. 15
  8. 12
  9. 8
  10. 60
  11. 15
  12. 7
  13. 140
  14. 40
  15. 14
  16. 4
  17. 3
  18. 15
  19. 84
  20. 210
  21. 8
  22. 63
  23. 54
  24. 18
  25. 60
  26. 5
  27. 70
  28. 14
  29. 2
  30. 216
  31. 13
  32. 24
  33. 7
  34. 25
  35. 288
  36. 21
  37. 156
  38. 378
  39. 15
  40. 30

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