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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 749 · 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 6.
  2. 2.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  3. 3.Find the LCM of 10 and 45.
  4. 4.Find the HCF of 16 and 40.
  5. 5.Find the LCM of 4, 8 and 6.
  6. 6.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  7. 7.Find the LCM of 7, 4 and 14.
  8. 8.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  9. 9.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 9, 14 and 6.
  11. 11.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  12. 12.Find the LCM of 45 and 35.
  13. 13.Find the LCM of 4 and 18.
  14. 14.Find the LCM of 36 and 20.
  15. 15.Find the HCF of 28 and 70.
  16. 16.Find the HCF of 35 and 42.
  17. 17.Find the LCM of 12 and 10.
  18. 18.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  19. 19.Find the LCM of 20 and 24.
  20. 20.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  21. 21.Find the LCM of 3 and 5.
  22. 22.Find the HCF of 18 and 27.
  23. 23.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  25. 25.Find the HCF of 112 and 126.
  26. 26.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  27. 27.Find the LCM of 28 and 36.
  28. 28.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  29. 29.Find the LCM of 15, 10 and 7.
  30. 30.Find the HCF of 77 and 22.
  31. 31.Find the HCF of 21 and 14.
  32. 32.Find the HCF of 25 and 20.
  33. 33.Find the LCM of 14 and 16.
  34. 34.Find the HCF of 70 and 90.
  35. 35.Find the LCM of 9, 6 and 13.
  36. 36.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  37. 37.Find the LCM of 15, 10 and 5.
  38. 38.Find the HCF of 84 and 36.
  39. 39.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  40. 40.Find the HCF of 98 and 126.

Answer key

  1. 30
  2. 27
  3. 90
  4. 8
  5. 24
  6. 6
  7. 28
  8. 14
  9. 49
  10. 126
  11. 40
  12. 315
  13. 36
  14. 180
  15. 14
  16. 7
  17. 60
  18. 14
  19. 120
  20. 32
  21. 15
  22. 9
  23. 20
  24. 49
  25. 14
  26. 20
  27. 252
  28. 24
  29. 210
  30. 11
  31. 7
  32. 5
  33. 112
  34. 10
  35. 234
  36. 24
  37. 30
  38. 12
  39. 15
  40. 14

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