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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 179 · 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 5, 3 and 4.
  2. 2.Find the LCM of 45 and 10.
  3. 3.Find the HCF of 35 and 20.
  4. 4.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  5. 5.Find the HCF of 40 and 15.
  6. 6.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  7. 7.Find the LCM of 6, 12 and 4.
  8. 8.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  9. 9.Find the LCM of 4, 3 and 10.
  10. 10.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  11. 11.Find the LCM of 24 and 54.
  12. 12.Find the LCM of 9 and 6.
  13. 13.Find the LCM of 5 and 4.
  14. 14.Find the LCM of 4, 2 and 6.
  15. 15.Find the LCM of 7 and 9.
  16. 16.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 63 and 49.
  18. 18.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 6 and 4.
  20. 20.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  21. 21.Find the LCM of 9, 4 and 10.
  22. 22.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  25. 25.Find the LCM of 6, 14 and 5.
  26. 26.Find the LCM of 3 and 4.
  27. 27.Find the LCM of 3, 2 and 11.
  28. 28.Find the LCM of 7 and 3.
  29. 29.Find the LCM of 14, 5 and 3.
  30. 30.Find the HCF of 56 and 35.
  31. 31.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  32. 32.Find the HCF of 55 and 33.
  33. 33.Find the HCF of 16 and 6.
  34. 34.Find the LCM of 6 and 9.
  35. 35.Find the LCM of 40 and 45.
  36. 36.Find the LCM of 12 and 20.
  37. 37.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  39. 39.Find the HCF of 25 and 45.
  40. 40.Find the HCF of 12 and 18.

Answer key

  1. 60
  2. 90
  3. 5
  4. 18
  5. 5
  6. 15
  7. 12
  8. 42
  9. 60
  10. 45
  11. 216
  12. 18
  13. 20
  14. 12
  15. 63
  16. 21
  17. 7
  18. 49
  19. 2
  20. 18
  21. 180
  22. 72
  23. 6
  24. 27
  25. 210
  26. 12
  27. 66
  28. 21
  29. 210
  30. 7
  31. 15
  32. 11
  33. 2
  34. 18
  35. 360
  36. 60
  37. 18
  38. 24
  39. 5
  40. 6

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