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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 445 · 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 6, 11 and 4.
  2. 2.Find the LCM of 5 and 4.
  3. 3.Find the HCF of 9 and 12.
  4. 4.Find the LCM of 3 and 5.
  5. 5.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 15 and 25.
  7. 7.Find the HCF of 21 and 27.
  8. 8.Find the HCF of 50 and 40.
  9. 9.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  12. 12.Find the LCM of 4, 7 and 8.
  13. 13.Find the LCM of 6, 13 and 9.
  14. 14.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  15. 15.Find the HCF of 20 and 8.
  16. 16.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  17. 17.Find the HCF of 56 and 49.
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  19. 19.Find the LCM of 15 and 35.
  20. 20.Find the LCM of 15, 9 and 6.
  21. 21.Find the LCM of 25 and 15.
  22. 22.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  23. 23.Find the LCM of 2, 12 and 15.
  24. 24.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 15 and 9.
  26. 26.Find the LCM of 8, 11 and 2.
  27. 27.Find the LCM of 24 and 15.
  28. 28.Find the LCM of 4, 3 and 13.
  29. 29.Find the LCM of 8, 2 and 10.
  30. 30.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  31. 31.Find the LCM of 7, 12 and 6.
  32. 32.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  33. 33.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 36 and 30.
  35. 35.Find the HCF of 48 and 108.
  36. 36.Find the LCM of 2 and 9.
  37. 37.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  39. 39.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  40. 40.Find the HCF of 45 and 72.

Answer key

  1. 132
  2. 20
  3. 3
  4. 15
  5. 63
  6. 75
  7. 3
  8. 10
  9. 24
  10. 15
  11. 9
  12. 56
  13. 234
  14. 12
  15. 4
  16. 10
  17. 7
  18. 12
  19. 105
  20. 90
  21. 75
  22. 14
  23. 60
  24. 25
  25. 45
  26. 88
  27. 120
  28. 156
  29. 40
  30. 45
  31. 84
  32. 63
  33. 16
  34. 180
  35. 12
  36. 18
  37. 14
  38. 64
  39. 20
  40. 9

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