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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 384 · 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 15 and 21.
  2. 2.Find the LCM of 21 and 6.
  3. 3.Find the HCF of 70 and 42.
  4. 4.Find the HCF of 15 and 9.
  5. 5.Find the LCM of 6 and 15.
  6. 6.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  7. 7.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  8. 8.Find the HCF of 88 and 55.
  9. 9.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  10. 10.Find the HCF of 8 and 28.
  11. 11.Find the LCM of 20 and 45.
  12. 12.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  13. 13.Find the LCM of 2, 6 and 12.
  14. 14.Find the HCF of 48 and 60.
  15. 15.Find the HCF of 35 and 40.
  16. 16.Find the LCM of 2, 9 and 15.
  17. 17.Find the HCF of 21 and 12.
  18. 18.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  19. 19.Find the LCM of 32 and 12.
  20. 20.Find the HCF of 60 and 105.
  21. 21.Find the LCM of 48 and 30.
  22. 22.Find the HCF of 56 and 126.
  23. 23.Find the HCF of 98 and 84.
  24. 24.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  25. 25.Find the HCF of 52 and 91.
  26. 26.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  28. 28.Find the HCF of 35 and 15.
  29. 29.Find the HCF of 45 and 36.
  30. 30.Find the HCF of 15 and 25.
  31. 31.Find the HCF of 45 and 40.
  32. 32.Find the LCM of 2, 6 and 15.
  33. 33.Find the LCM of 28 and 12.
  34. 34.Find the LCM of 9 and 15.
  35. 35.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 7, 2 and 5.
  37. 37.Find the HCF of 10 and 14.
  38. 38.Find the HCF of 30 and 135.
  39. 39.Find the LCM of 7 and 3.
  40. 40.Find the LCM of 5 and 4.

Answer key

  1. 105
  2. 42
  3. 14
  4. 3
  5. 30
  6. 45
  7. 24
  8. 11
  9. 14
  10. 4
  11. 180
  12. 18
  13. 12
  14. 12
  15. 5
  16. 90
  17. 3
  18. 35
  19. 96
  20. 15
  21. 240
  22. 14
  23. 14
  24. 18
  25. 13
  26. 81
  27. 9
  28. 5
  29. 9
  30. 5
  31. 5
  32. 30
  33. 84
  34. 45
  35. 30
  36. 70
  37. 2
  38. 15
  39. 21
  40. 20

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