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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 388 · 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 40 and 35.
  2. 2.Find the HCF of 70 and 126.
  3. 3.Find the LCM of 3, 5 and 7.
  4. 4.Find the LCM of 5, 8 and 12.
  5. 5.Find the LCM of 3, 8 and 5.
  6. 6.Find the LCM of 40 and 45.
  7. 7.Find the LCM of 9, 2 and 10.
  8. 8.Find the LCM of 7, 14 and 3.
  9. 9.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  10. 10.Find the LCM of 25 and 30.
  11. 11.Find the LCM of 10 and 4.
  12. 12.Find the HCF of 28 and 49.
  13. 13.Find the HCF of 55 and 88.
  14. 14.Find the LCM of 2, 4 and 9.
  15. 15.Find the LCM of 12, 6 and 11.
  16. 16.Find the LCM of 24 and 20.
  17. 17.Find the LCM of 3, 5 and 2.
  18. 18.Find the LCM of 42 and 18.
  19. 19.Find the LCM of 11, 6 and 9.
  20. 20.Find the HCF of 26 and 117.
  21. 21.Find the HCF of 20 and 8.
  22. 22.Find the HCF of 54 and 42.
  23. 23.Find the HCF of 26 and 91.
  24. 24.Find the HCF of 21 and 6.
  25. 25.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  26. 26.Find the HCF of 56 and 70.
  27. 27.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  28. 28.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  29. 29.Find the LCM of 4, 5 and 6.
  30. 30.Find the LCM of 4, 8 and 2.
  31. 31.Find the LCM of 36 and 20.
  32. 32.Find the LCM of 6 and 21.
  33. 33.Find the LCM of 9 and 15.
  34. 34.Find the LCM of 8 and 3.
  35. 35.Find the HCF of 40 and 15.
  36. 36.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 9 and 8.
  38. 38.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  40. 40.Find the LCM of 21 and 6.

Answer key

  1. 280
  2. 14
  3. 105
  4. 120
  5. 120
  6. 360
  7. 90
  8. 42
  9. 21
  10. 150
  11. 20
  12. 7
  13. 11
  14. 36
  15. 132
  16. 120
  17. 30
  18. 126
  19. 198
  20. 13
  21. 4
  22. 6
  23. 13
  24. 3
  25. 72
  26. 14
  27. 24
  28. 63
  29. 60
  30. 8
  31. 180
  32. 42
  33. 45
  34. 24
  35. 5
  36. 12
  37. 72
  38. 63
  39. 45
  40. 42

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