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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 59 · 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.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  2. 2.Find the HCF of 60 and 48.
  3. 3.Find the LCM of 14 and 18.
  4. 4.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  5. 5.Find the LCM of 9, 10 and 15.
  6. 6.Find the LCM of 15, 10 and 14.
  7. 7.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  8. 8.Find the LCM of 6, 14 and 12.
  9. 9.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 2, 10 and 5.
  11. 11.Find the LCM of 4, 15 and 12.
  12. 12.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  13. 13.Find the HCF of 20 and 30.
  14. 14.Find the LCM of 3, 5 and 11.
  15. 15.Find the LCM of 3, 9 and 7.
  16. 16.Find the LCM of 12, 6 and 11.
  17. 17.Find the LCM of 12 and 54.
  18. 18.Find the LCM of 14 and 6.
  19. 19.Find the HCF of 15 and 9.
  20. 20.Find the HCF of 35 and 10.
  21. 21.Find the LCM of 15 and 9.
  22. 22.Find the LCM of 6 and 10.
  23. 23.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  24. 24.Find the HCF of 39 and 52.
  25. 25.Find the HCF of 10 and 4.
  26. 26.Find the LCM of 3, 5 and 8.
  27. 27.Find the HCF of 30 and 18.
  28. 28.Find the LCM of 42 and 48.
  29. 29.Find the LCM of 10, 4 and 5.
  30. 30.Find the LCM of 14, 7 and 12.
  31. 31.Find the LCM of 6, 4 and 2.
  32. 32.Find the LCM of 8 and 20.
  33. 33.Find the HCF of 35 and 40.
  34. 34.Find the LCM of 15, 3 and 4.
  35. 35.Find the HCF of 30 and 25.
  36. 36.Find the LCM of 35 and 40.
  37. 37.Find the LCM of 2, 11 and 6.
  38. 38.Find the LCM of 9 and 15.
  39. 39.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  40. 40.Find the LCM of 2, 12 and 6.

Answer key

  1. 35
  2. 12
  3. 126
  4. 12
  5. 90
  6. 210
  7. 12
  8. 84
  9. 36
  10. 10
  11. 60
  12. 15
  13. 10
  14. 165
  15. 63
  16. 132
  17. 108
  18. 42
  19. 3
  20. 5
  21. 45
  22. 30
  23. 12
  24. 13
  25. 2
  26. 120
  27. 6
  28. 336
  29. 20
  30. 84
  31. 12
  32. 40
  33. 5
  34. 60
  35. 5
  36. 280
  37. 66
  38. 45
  39. 15
  40. 12

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