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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 609 · 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, 2 and 4.
  2. 2.Find the LCM of 4 and 6.
  3. 3.Find the LCM of 42 and 24.
  4. 4.Find the LCM of 15, 5 and 11.
  5. 5.Find the HCF of 72 and 84.
  6. 6.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  7. 7.Find the LCM of 35 and 40.
  8. 8.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  9. 9.Find the HCF of 12 and 28.
  10. 10.Find the HCF of 65 and 104.
  11. 11.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  12. 12.Find the HCF of 6 and 4.
  13. 13.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  14. 14.Find the LCM of 42 and 18.
  15. 15.Find the LCM of 9 and 5.
  16. 16.Find the LCM of 10, 5 and 13.
  17. 17.Find the LCM of 8, 3 and 2.
  18. 18.Find the LCM of 25 and 10.
  19. 19.Find the HCF of 72 and 45.
  20. 20.Find the HCF of 55 and 77.
  21. 21.Find the HCF of 16 and 20.
  22. 22.Find the LCM of 15, 12 and 9.
  23. 23.Find the HCF of 20 and 35.
  24. 24.Find the LCM of 15 and 9.
  25. 25.Find the LCM of 2, 3 and 15.
  26. 26.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  27. 27.Find the HCF of 84 and 24.
  28. 28.Find the LCM of 18 and 8.
  29. 29.Find the LCM of 5, 12 and 10.
  30. 30.Find the LCM of 18 and 14.
  31. 31.Find the LCM of 6 and 14.
  32. 32.Find the HCF of 70 and 28.
  33. 33.Find the LCM of 14, 7 and 11.
  34. 34.Find the LCM of 11, 4 and 5.
  35. 35.Find the HCF of 55 and 66.
  36. 36.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  37. 37.Find the HCF of 25 and 15.
  38. 38.Find the LCM of 11, 12 and 6.
  39. 39.Find the LCM of 5 and 3.
  40. 40.Find the HCF of 56 and 126.

Answer key

  1. 60
  2. 12
  3. 168
  4. 165
  5. 12
  6. 12
  7. 280
  8. 15
  9. 4
  10. 13
  11. 20
  12. 2
  13. 27
  14. 126
  15. 45
  16. 130
  17. 24
  18. 50
  19. 9
  20. 11
  21. 4
  22. 180
  23. 5
  24. 45
  25. 30
  26. 45
  27. 12
  28. 72
  29. 60
  30. 126
  31. 42
  32. 14
  33. 154
  34. 220
  35. 11
  36. 30
  37. 5
  38. 132
  39. 15
  40. 14

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