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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 502 · 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, 8 and 4.
  2. 2.Find the HCF of 24 and 21.
  3. 3.Find the HCF of 24 and 84.
  4. 4.Find the LCM of 11, 15 and 5.
  5. 5.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  6. 6.Find the HCF of 10 and 16.
  7. 7.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  8. 8.Find the HCF of 12 and 14.
  9. 9.Find the LCM of 3, 5 and 9.
  10. 10.Find the LCM of 3 and 2.
  11. 11.Find the LCM of 2, 15 and 8.
  12. 12.Find the LCM of 21 and 24.
  13. 13.Find the LCM of 6, 9 and 14.
  14. 14.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  15. 15.Find the LCM of 3, 11 and 2.
  16. 16.Find the LCM of 12 and 16.
  17. 17.Find the LCM of 5, 11 and 3.
  18. 18.Find the LCM of 5, 8 and 15.
  19. 19.Find the LCM of 7 and 5.
  20. 20.Find the HCF of 80 and 30.
  21. 21.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 2, 4 and 15.
  23. 23.Find the HCF of 26 and 117.
  24. 24.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 42 and 12.
  26. 26.Find the LCM of 20 and 35.
  27. 27.Find the LCM of 5 and 9.
  28. 28.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  29. 29.Find the HCF of 55 and 99.
  30. 30.Find the HCF of 4 and 14.
  31. 31.Find the HCF of 6 and 27.
  32. 32.Find the LCM of 10, 7 and 3.
  33. 33.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  35. 35.Find the LCM of 6 and 27.
  36. 36.Find the LCM of 4 and 7.
  37. 37.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  39. 39.Find the HCF of 42 and 12.
  40. 40.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?

Answer key

  1. 120
  2. 3
  3. 12
  4. 165
  5. 35
  6. 2
  7. 20
  8. 2
  9. 45
  10. 6
  11. 120
  12. 168
  13. 126
  14. 21
  15. 66
  16. 48
  17. 165
  18. 120
  19. 35
  20. 10
  21. 45
  22. 60
  23. 13
  24. 9
  25. 84
  26. 140
  27. 45
  28. 35
  29. 11
  30. 2
  31. 3
  32. 210
  33. 36
  34. 9
  35. 54
  36. 28
  37. 16
  38. 15
  39. 6
  40. 72

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