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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 678 · 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 18 and 30.
  2. 2.Find the HCF of 90 and 75.
  3. 3.Find the LCM of 8 and 10.
  4. 4.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 3 and 5.
  6. 6.Find the HCF of 40 and 50.
  7. 7.Find the LCM of 40 and 35.
  8. 8.Find the HCF of 55 and 77.
  9. 9.Find the LCM of 54 and 24.
  10. 10.Find the LCM of 8 and 7.
  11. 11.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 91 and 39.
  13. 13.Find the HCF of 22 and 77.
  14. 14.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  15. 15.Find the HCF of 70 and 20.
  16. 16.Find the LCM of 11, 6 and 2.
  17. 17.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  18. 18.Find the LCM of 15 and 40.
  19. 19.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  21. 21.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  22. 22.Find the HCF of 16 and 14.
  23. 23.Find the HCF of 27 and 36.
  24. 24.Find the HCF of 15 and 21.
  25. 25.Find the HCF of 16 and 6.
  26. 26.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  27. 27.Find the LCM of 12 and 30.
  28. 28.Find the LCM of 14, 3 and 2.
  29. 29.Find the LCM of 8, 14 and 6.
  30. 30.Find the LCM of 9, 6 and 14.
  31. 31.Find the LCM of 3 and 2.
  32. 32.Find the LCM of 4, 6 and 10.
  33. 33.Find the HCF of 45 and 105.
  34. 34.Find the LCM of 6, 14 and 4.
  35. 35.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 30 and 12.
  37. 37.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  39. 39.Find the HCF of 108 and 48.
  40. 40.Find the LCM of 2 and 7.

Answer key

  1. 90
  2. 15
  3. 40
  4. 64
  5. 15
  6. 10
  7. 280
  8. 11
  9. 216
  10. 56
  11. 10
  12. 13
  13. 11
  14. 36
  15. 10
  16. 66
  17. 28
  18. 120
  19. 40
  20. 8
  21. 12
  22. 2
  23. 9
  24. 3
  25. 2
  26. 45
  27. 60
  28. 42
  29. 168
  30. 126
  31. 6
  32. 60
  33. 15
  34. 84
  35. 27
  36. 60
  37. 30
  38. 35
  39. 12
  40. 14

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