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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 276 · 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 12 and 9.
  2. 2.Find the LCM of 5, 4 and 9.
  3. 3.Find the LCM of 13, 3 and 4.
  4. 4.Find the LCM of 12 and 18.
  5. 5.Find the HCF of 48 and 54.
  6. 6.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  7. 7.Find the LCM of 35 and 45.
  8. 8.Find the LCM of 6 and 9.
  9. 9.Find the LCM of 18 and 12.
  10. 10.Find the LCM of 2, 4 and 9.
  11. 11.Find the HCF of 22 and 99.
  12. 12.Find the LCM of 7, 2 and 6.
  13. 13.Find the LCM of 3, 4 and 12.
  14. 14.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  15. 15.Find the HCF of 105 and 90.
  16. 16.Find the HCF of 104 and 65.
  17. 17.Find the HCF of 40 and 56.
  18. 18.Find the LCM of 4, 3 and 13.
  19. 19.Find the LCM of 6, 4 and 7.
  20. 20.Find the LCM of 3, 10 and 2.
  21. 21.Find the LCM of 12, 2 and 3.
  22. 22.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  23. 23.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  24. 24.Find the LCM of 5 and 4.
  25. 25.Find the LCM of 4, 6 and 10.
  26. 26.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  27. 27.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  28. 28.Find the LCM of 8 and 5.
  29. 29.Find the LCM of 7 and 5.
  30. 30.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 5, 14 and 7.
  32. 32.Find the LCM of 3, 12 and 4.
  33. 33.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  34. 34.Find the HCF of 50 and 80.
  35. 35.Find the LCM of 6, 7 and 2.
  36. 36.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  37. 37.Find the LCM of 9, 2 and 6.
  38. 38.Find the HCF of 4 and 18.
  39. 39.Find the LCM of 14 and 10.
  40. 40.Find the HCF of 90 and 50.

Answer key

  1. 36
  2. 180
  3. 156
  4. 36
  5. 6
  6. 8
  7. 315
  8. 18
  9. 36
  10. 36
  11. 11
  12. 42
  13. 12
  14. 28
  15. 15
  16. 13
  17. 8
  18. 156
  19. 84
  20. 30
  21. 12
  22. 63
  23. 12
  24. 20
  25. 60
  26. 15
  27. 24
  28. 40
  29. 35
  30. 25
  31. 70
  32. 12
  33. 8
  34. 10
  35. 42
  36. 14
  37. 18
  38. 2
  39. 70
  40. 10

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