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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 576 · 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 10 and 45.
  2. 2.Find the LCM of 9, 5 and 12.
  3. 3.Find the HCF of 35 and 10.
  4. 4.Find the LCM of 30 and 35.
  5. 5.Find the LCM of 11, 9 and 3.
  6. 6.Find the LCM of 12 and 15.
  7. 7.Find the LCM of 2, 14 and 5.
  8. 8.Find the HCF of 50 and 70.
  9. 9.Find the LCM of 5, 12 and 2.
  10. 10.Find the LCM of 40 and 35.
  11. 11.Find the HCF of 48 and 84.
  12. 12.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  13. 13.Find the LCM of 42 and 18.
  14. 14.Find the HCF of 42 and 35.
  15. 15.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 15, 2 and 3.
  17. 17.Find the HCF of 9 and 24.
  18. 18.Find the HCF of 84 and 36.
  19. 19.Find the LCM of 6, 9 and 11.
  20. 20.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  22. 22.Find the HCF of 65 and 52.
  23. 23.Find the LCM of 11, 4 and 12.
  24. 24.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  25. 25.Find the LCM of 14, 5 and 3.
  26. 26.Find the HCF of 24 and 27.
  27. 27.Find the LCM of 12 and 42.
  28. 28.Find the LCM of 6 and 4.
  29. 29.Find the HCF of 56 and 42.
  30. 30.Find the HCF of 32 and 40.
  31. 31.Find the HCF of 12 and 18.
  32. 32.Find the LCM of 16 and 12.
  33. 33.Find the HCF of 98 and 42.
  34. 34.Find the LCM of 3, 15 and 9.
  35. 35.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  36. 36.Find the HCF of 20 and 24.
  37. 37.Find the LCM of 12, 6 and 3.
  38. 38.Find the HCF of 33 and 44.
  39. 39.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 30 and 20.

Answer key

  1. 90
  2. 180
  3. 5
  4. 210
  5. 99
  6. 60
  7. 70
  8. 10
  9. 60
  10. 280
  11. 12
  12. 27
  13. 126
  14. 7
  15. 10
  16. 30
  17. 3
  18. 12
  19. 198
  20. 35
  21. 14
  22. 13
  23. 132
  24. 12
  25. 210
  26. 3
  27. 84
  28. 12
  29. 14
  30. 8
  31. 6
  32. 48
  33. 14
  34. 45
  35. 12
  36. 4
  37. 12
  38. 11
  39. 27
  40. 10

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