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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 446 · 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 8, 4 and 11.
  2. 2.Find the LCM of 15, 3 and 2.
  3. 3.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  4. 4.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  5. 5.Find the HCF of 84 and 72.
  6. 6.Find the HCF of 36 and 32.
  7. 7.Find the LCM of 4, 11 and 5.
  8. 8.Find the LCM of 18 and 12.
  9. 9.Find the HCF of 40 and 15.
  10. 10.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  11. 11.Find the HCF of 18 and 8.
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  13. 13.Find the LCM of 2, 6 and 3.
  14. 14.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  15. 15.Find the HCF of 28 and 126.
  16. 16.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  17. 17.Find the HCF of 15 and 6.
  18. 18.Find the LCM of 30 and 35.
  19. 19.Find the HCF of 22 and 33.
  20. 20.Find the HCF of 40 and 16.
  21. 21.Find the LCM of 36 and 8.
  22. 22.Find the LCM of 24 and 9.
  23. 23.Find the LCM of 24 and 54.
  24. 24.Find the LCM of 4, 11 and 12.
  25. 25.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  26. 26.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  27. 27.Find the LCM of 15, 8 and 3.
  28. 28.Find the LCM of 2, 9 and 6.
  29. 29.Find the LCM of 45 and 20.
  30. 30.Find the HCF of 39 and 52.
  31. 31.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  32. 32.Find the LCM of 14, 5 and 15.
  33. 33.Find the HCF of 44 and 33.
  34. 34.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  35. 35.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  36. 36.Find the LCM of 25 and 35.
  37. 37.Find the LCM of 21 and 12.
  38. 38.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  39. 39.Find the HCF of 20 and 25.
  40. 40.Find the HCF of 120 and 45.

Answer key

  1. 88
  2. 30
  3. 28
  4. 35
  5. 12
  6. 4
  7. 220
  8. 36
  9. 5
  10. 14
  11. 2
  12. 10
  13. 6
  14. 24
  15. 14
  16. 12
  17. 3
  18. 210
  19. 11
  20. 8
  21. 72
  22. 72
  23. 216
  24. 132
  25. 25
  26. 54
  27. 120
  28. 18
  29. 180
  30. 13
  31. 45
  32. 210
  33. 11
  34. 18
  35. 45
  36. 175
  37. 84
  38. 15
  39. 5
  40. 15

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