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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 187 · 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, 8 and 6.
  2. 2.Find the HCF of 33 and 22.
  3. 3.Find the HCF of 25 and 20.
  4. 4.Find the HCF of 27 and 63.
  5. 5.Find the HCF of 70 and 112.
  6. 6.Find the LCM of 9, 2 and 15.
  7. 7.Find the LCM of 30 and 42.
  8. 8.Find the LCM of 10, 6 and 12.
  9. 9.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  10. 10.Find the LCM of 11, 2 and 5.
  11. 11.Find the LCM of 8, 2 and 3.
  12. 12.Find the LCM of 4, 10 and 14.
  13. 13.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 15 and 6.
  15. 15.Find the LCM of 2, 11 and 4.
  16. 16.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  17. 17.Find the LCM of 6, 5 and 10.
  18. 18.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  19. 19.Find the HCF of 18 and 24.
  20. 20.Find the LCM of 36 and 28.
  21. 21.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  22. 22.Find the HCF of 8 and 14.
  23. 23.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  24. 24.Find the HCF of 44 and 33.
  25. 25.Find the HCF of 10 and 14.
  26. 26.Find the LCM of 10, 15 and 12.
  27. 27.Find the LCM of 24 and 27.
  28. 28.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  29. 29.Find the HCF of 32 and 40.
  30. 30.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  31. 31.Find the HCF of 45 and 75.
  32. 32.Find the LCM of 7 and 4.
  33. 33.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 6, 3 and 8.
  35. 35.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  37. 37.Find the LCM of 9 and 24.
  38. 38.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?

Answer key

  1. 24
  2. 11
  3. 5
  4. 9
  5. 14
  6. 90
  7. 210
  8. 60
  9. 10
  10. 110
  11. 24
  12. 140
  13. 18
  14. 30
  15. 44
  16. 20
  17. 30
  18. 36
  19. 6
  20. 252
  21. 35
  22. 2
  23. 21
  24. 11
  25. 2
  26. 60
  27. 216
  28. 28
  29. 8
  30. 35
  31. 15
  32. 28
  33. 10
  34. 24
  35. 30
  36. 18
  37. 72
  38. 12
  39. 45
  40. 8

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