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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 590 · 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 30 and 48.
  2. 2.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  3. 3.Find the HCF of 117 and 26.
  4. 4.Find the HCF of 20 and 70.
  5. 5.Find the HCF of 60 and 108.
  6. 6.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.Find the LCM of 12, 8 and 14.
  8. 8.Find the HCF of 10 and 16.
  9. 9.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  10. 10.Find the LCM of 9 and 4.
  11. 11.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  13. 13.Find the LCM of 4, 10 and 9.
  14. 14.Find the LCM of 10, 3 and 12.
  15. 15.Find the HCF of 45 and 105.
  16. 16.Find the HCF of 75 and 45.
  17. 17.Find the LCM of 15, 3 and 9.
  18. 18.Find the HCF of 12 and 10.
  19. 19.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 15 and 12.
  21. 21.Find the LCM of 4, 9 and 8.
  22. 22.Find the LCM of 8, 4 and 11.
  23. 23.Find the HCF of 50 and 20.
  24. 24.Find the LCM of 2, 5 and 4.
  25. 25.Find the LCM of 13, 9 and 6.
  26. 26.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  27. 27.Find the HCF of 135 and 60.
  28. 28.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  29. 29.Find the LCM of 36 and 8.
  30. 30.Find the LCM of 30 and 25.
  31. 31.Find the LCM of 14, 12 and 2.
  32. 32.Find the LCM of 2, 15 and 4.
  33. 33.Find the HCF of 60 and 48.
  34. 34.Find the LCM of 14 and 4.
  35. 35.Find the LCM of 42 and 36.
  36. 36.Find the HCF of 65 and 104.
  37. 37.Find the HCF of 12 and 18.
  38. 38.Find the LCM of 5, 8 and 15.
  39. 39.Find the LCM of 8, 5 and 15.
  40. 40.Find the HCF of 30 and 12.

Answer key

  1. 240
  2. 27
  3. 13
  4. 10
  5. 12
  6. 15
  7. 168
  8. 2
  9. 72
  10. 36
  11. 64
  12. 14
  13. 180
  14. 60
  15. 15
  16. 15
  17. 45
  18. 2
  19. 8
  20. 60
  21. 72
  22. 88
  23. 10
  24. 20
  25. 234
  26. 36
  27. 15
  28. 24
  29. 72
  30. 150
  31. 84
  32. 60
  33. 12
  34. 28
  35. 252
  36. 13
  37. 6
  38. 120
  39. 120
  40. 6

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