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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 200 · 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, 2 and 15.
  2. 2.Find the LCM of 6 and 9.
  3. 3.Find the HCF of 81 and 36.
  4. 4.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 10 and 6.
  6. 6.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  7. 7.Find the HCF of 28 and 42.
  8. 8.Find the HCF of 36 and 20.
  9. 9.Find the LCM of 6 and 16.
  10. 10.Find the LCM of 30 and 42.
  11. 11.Find the LCM of 3, 5 and 13.
  12. 12.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  13. 13.Find the HCF of 28 and 126.
  14. 14.Find the HCF of 36 and 32.
  15. 15.Find the LCM of 3 and 8.
  16. 16.Find the HCF of 91 and 78.
  17. 17.Find the LCM of 12, 3 and 8.
  18. 18.Find the LCM of 35 and 40.
  19. 19.Find the LCM of 20 and 45.
  20. 20.Find the LCM of 6 and 27.
  21. 21.Find the HCF of 20 and 70.
  22. 22.Find the HCF of 44 and 55.
  23. 23.Find the LCM of 10, 15 and 9.
  24. 24.Find the LCM of 5 and 6.
  25. 25.Find the LCM of 5, 2 and 13.
  26. 26.Find the LCM of 14, 6 and 9.
  27. 27.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  28. 28.Find the LCM of 18 and 8.
  29. 29.Find the LCM of 6, 14 and 5.
  30. 30.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  33. 33.Find the LCM of 18 and 16.
  34. 34.Find the HCF of 14 and 12.
  35. 35.Find the LCM of 54 and 12.
  36. 36.Find the LCM of 2 and 9.
  37. 37.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  38. 38.Find the LCM of 14, 5 and 6.
  39. 39.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  40. 40.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?

Answer key

  1. 120
  2. 18
  3. 9
  4. 28
  5. 30
  6. 12
  7. 14
  8. 4
  9. 48
  10. 210
  11. 195
  12. 25
  13. 14
  14. 4
  15. 24
  16. 13
  17. 24
  18. 280
  19. 180
  20. 54
  21. 10
  22. 11
  23. 90
  24. 30
  25. 130
  26. 126
  27. 6
  28. 72
  29. 210
  30. 24
  31. 16
  32. 14
  33. 144
  34. 2
  35. 108
  36. 18
  37. 30
  38. 210
  39. 30
  40. 49

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