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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 202 · 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 6, 2 and 5.
  2. 2.Find the LCM of 21 and 24.
  3. 3.Find the LCM of 4 and 18.
  4. 4.Find the HCF of 9 and 21.
  5. 5.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  6. 6.Find the LCM of 5, 9 and 4.
  7. 7.Find the LCM of 3, 12 and 9.
  8. 8.Find the HCF of 22 and 77.
  9. 9.Find the LCM of 3, 2 and 15.
  10. 10.Find the LCM of 28 and 8.
  11. 11.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 15 and 21.
  14. 14.Find the HCF of 24 and 36.
  15. 15.Find the LCM of 30 and 36.
  16. 16.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  17. 17.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  19. 19.Find the HCF of 25 and 40.
  20. 20.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 2, 9 and 3.
  23. 23.Find the HCF of 32 and 28.
  24. 24.Find the LCM of 30 and 24.
  25. 25.Find the HCF of 15 and 12.
  26. 26.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 9, 11 and 2.
  28. 28.Find the LCM of 4, 3 and 2.
  29. 29.Find the LCM of 36 and 16.
  30. 30.Find the LCM of 36 and 8.
  31. 31.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  32. 32.Find the HCF of 56 and 21.
  33. 33.Find the LCM of 6, 2 and 7.
  34. 34.Find the LCM of 12, 11 and 3.
  35. 35.Find the LCM of 5, 14 and 2.
  36. 36.Find the LCM of 7, 2 and 14.
  37. 37.Find the HCF of 42 and 54.
  38. 38.Find the HCF of 35 and 30.
  39. 39.Find the LCM of 2, 14 and 9.
  40. 40.Find the LCM of 10 and 45.

Answer key

  1. 30
  2. 168
  3. 36
  4. 3
  5. 45
  6. 180
  7. 36
  8. 11
  9. 30
  10. 56
  11. 24
  12. 49
  13. 105
  14. 12
  15. 180
  16. 56
  17. 35
  18. 24
  19. 5
  20. 12
  21. 6
  22. 18
  23. 4
  24. 120
  25. 3
  26. 12
  27. 198
  28. 12
  29. 144
  30. 72
  31. 49
  32. 7
  33. 42
  34. 132
  35. 70
  36. 14
  37. 6
  38. 5
  39. 126
  40. 90

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