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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 455 · 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 4 and 18.
  2. 2.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  3. 3.Find the HCF of 4 and 14.
  4. 4.Find the LCM of 9, 5 and 3.
  5. 5.Find the HCF of 117 and 52.
  6. 6.Find the HCF of 35 and 63.
  7. 7.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  8. 8.Find the LCM of 24 and 27.
  9. 9.Find the LCM of 2, 12 and 14.
  10. 10.Find the LCM of 36 and 30.
  11. 11.Find the LCM of 8 and 18.
  12. 12.Find the LCM of 12, 3 and 5.
  13. 13.Find the HCF of 12 and 54.
  14. 14.Find the HCF of 6 and 21.
  15. 15.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  16. 16.Find the HCF of 72 and 63.
  17. 17.Find the HCF of 70 and 42.
  18. 18.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  20. 20.Find the LCM of 4, 2 and 15.
  21. 21.Find the HCF of 50 and 80.
  22. 22.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 6 and 16.
  24. 24.Find the LCM of 6, 2 and 8.
  25. 25.Find the LCM of 6 and 8.
  26. 26.Find the HCF of 20 and 36.
  27. 27.Find the HCF of 35 and 20.
  28. 28.Find the HCF of 50 and 40.
  29. 29.Find the LCM of 7 and 3.
  30. 30.Find the HCF of 72 and 32.
  31. 31.Find the LCM of 8 and 14.
  32. 32.Find the HCF of 30 and 20.
  33. 33.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 12, 3 and 13.
  35. 35.Find the LCM of 13, 10 and 5.
  36. 36.Find the HCF of 26 and 91.
  37. 37.Find the LCM of 10 and 6.
  38. 38.Find the LCM of 7 and 9.
  39. 39.Find the LCM of 10, 9 and 5.
  40. 40.Find the HCF of 12 and 42.

Answer key

  1. 36
  2. 24
  3. 2
  4. 45
  5. 13
  6. 7
  7. 63
  8. 216
  9. 84
  10. 180
  11. 72
  12. 60
  13. 6
  14. 3
  15. 20
  16. 9
  17. 14
  18. 35
  19. 6
  20. 60
  21. 10
  22. 28
  23. 48
  24. 24
  25. 24
  26. 4
  27. 5
  28. 10
  29. 21
  30. 8
  31. 56
  32. 10
  33. 4
  34. 156
  35. 130
  36. 13
  37. 30
  38. 63
  39. 90
  40. 6

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