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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 138 · 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 8, 7 and 12.
  2. 2.Find the LCM of 4, 10 and 11.
  3. 3.Find the HCF of 4 and 14.
  4. 4.Find the LCM of 9, 3 and 6.
  5. 5.Find the LCM of 4 and 10.
  6. 6.Find the LCM of 14 and 4.
  7. 7.Find the LCM of 5 and 7.
  8. 8.Find the LCM of 12 and 8.
  9. 9.Find the LCM of 30 and 36.
  10. 10.Find the HCF of 36 and 81.
  11. 11.Find the HCF of 24 and 84.
  12. 12.Find the LCM of 18 and 14.
  13. 13.Find the LCM of 15 and 10.
  14. 14.Find the LCM of 18 and 16.
  15. 15.Find the LCM of 7 and 9.
  16. 16.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  17. 17.Find the HCF of 48 and 84.
  18. 18.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  19. 19.Find the LCM of 14, 9 and 3.
  20. 20.Find the LCM of 14, 3 and 6.
  21. 21.Find the HCF of 35 and 15.
  22. 22.Find the LCM of 4, 2 and 9.
  23. 23.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  24. 24.Find the LCM of 10, 15 and 8.
  25. 25.Find the LCM of 9 and 5.
  26. 26.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  27. 27.Find the HCF of 8 and 6.
  28. 28.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  29. 29.Find the HCF of 60 and 96.
  30. 30.Find the HCF of 72 and 27.
  31. 31.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  32. 32.Find the LCM of 3 and 4.
  33. 33.Find the HCF of 32 and 56.
  34. 34.Find the HCF of 48 and 60.
  35. 35.Find the LCM of 14 and 18.
  36. 36.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  37. 37.Find the HCF of 60 and 72.
  38. 38.Find the HCF of 90 and 40.
  39. 39.Find the LCM of 42 and 18.
  40. 40.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?

Answer key

  1. 168
  2. 220
  3. 2
  4. 18
  5. 20
  6. 28
  7. 35
  8. 24
  9. 180
  10. 9
  11. 12
  12. 126
  13. 30
  14. 144
  15. 63
  16. 27
  17. 12
  18. 40
  19. 126
  20. 42
  21. 5
  22. 36
  23. 8
  24. 120
  25. 45
  26. 72
  27. 2
  28. 8
  29. 12
  30. 9
  31. 21
  32. 12
  33. 8
  34. 12
  35. 126
  36. 24
  37. 12
  38. 10
  39. 126
  40. 15

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