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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 247 · 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 7 and 9.
  2. 2.Find the HCF of 27 and 18.
  3. 3.Find the HCF of 42 and 18.
  4. 4.Find the LCM of 5, 2 and 8.
  5. 5.Find the LCM of 5 and 6.
  6. 6.Find the LCM of 20 and 24.
  7. 7.Find the HCF of 12 and 42.
  8. 8.Find the LCM of 3 and 8.
  9. 9.Find the LCM of 5, 15 and 8.
  10. 10.Find the LCM of 4, 13 and 8.
  11. 11.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 20 and 36.
  13. 13.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  14. 14.Find the LCM of 2, 9 and 5.
  15. 15.Find the HCF of 9 and 6.
  16. 16.Find the LCM of 15 and 9.
  17. 17.Find the LCM of 7, 14 and 5.
  18. 18.Find the LCM of 35 and 30.
  19. 19.Find the HCF of 15 and 18.
  20. 20.Find the LCM of 35 and 10.
  21. 21.Find the HCF of 70 and 84.
  22. 22.Find the HCF of 10 and 18.
  23. 23.Find the LCM of 9, 2 and 7.
  24. 24.Find the HCF of 16 and 12.
  25. 25.Find the HCF of 15 and 10.
  26. 26.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  28. 28.Find the LCM of 12 and 42.
  29. 29.Find the LCM of 6 and 9.
  30. 30.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  31. 31.Find the LCM of 24 and 30.
  32. 32.Find the LCM of 28 and 32.
  33. 33.Find the LCM of 3, 5 and 4.
  34. 34.Find the LCM of 10 and 8.
  35. 35.Find the HCF of 80 and 90.
  36. 36.Find the LCM of 15 and 10.
  37. 37.Find the HCF of 10 and 14.
  38. 38.Find the LCM of 3, 8 and 5.
  39. 39.Find the LCM of 35 and 40.
  40. 40.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?

Answer key

  1. 63
  2. 9
  3. 6
  4. 40
  5. 30
  6. 120
  7. 6
  8. 24
  9. 120
  10. 104
  11. 63
  12. 180
  13. 30
  14. 90
  15. 3
  16. 45
  17. 70
  18. 210
  19. 3
  20. 70
  21. 14
  22. 2
  23. 126
  24. 4
  25. 5
  26. 24
  27. 12
  28. 84
  29. 18
  30. 10
  31. 120
  32. 224
  33. 60
  34. 40
  35. 10
  36. 30
  37. 2
  38. 120
  39. 280
  40. 35

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