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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 430 · 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 36 and 28.
  2. 2.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 12 and 18.
  4. 4.Find the HCF of 28 and 98.
  5. 5.Find the LCM of 3, 5 and 13.
  6. 6.Find the LCM of 5, 14 and 2.
  7. 7.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  8. 8.Find the HCF of 21 and 28.
  9. 9.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  10. 10.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  11. 11.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  12. 12.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  13. 13.Find the HCF of 108 and 48.
  14. 14.Find the HCF of 30 and 50.
  15. 15.Find the HCF of 126 and 98.
  16. 16.Find the HCF of 30 and 24.
  17. 17.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  18. 18.Find the LCM of 3, 15 and 6.
  19. 19.Find the LCM of 6 and 9.
  20. 20.Find the LCM of 10 and 18.
  21. 21.Find the HCF of 35 and 14.
  22. 22.Find the HCF of 33 and 88.
  23. 23.Find the HCF of 36 and 24.
  24. 24.Find the HCF of 12 and 8.
  25. 25.Find the HCF of 135 and 30.
  26. 26.Find the HCF of 60 and 48.
  27. 27.Find the HCF of 84 and 96.
  28. 28.Find the LCM of 8, 15 and 10.
  29. 29.Find the LCM of 3, 9 and 10.
  30. 30.Find the HCF of 9 and 24.
  31. 31.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  32. 32.Find the HCF of 30 and 35.
  33. 33.Find the LCM of 7 and 6.
  34. 34.Find the HCF of 42 and 35.
  35. 35.Find the HCF of 40 and 48.
  36. 36.Find the LCM of 8 and 7.
  37. 37.Find the LCM of 15 and 35.
  38. 38.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 3 and 2.
  40. 40.Find the LCM of 25 and 40.

Answer key

  1. 252
  2. 4
  3. 36
  4. 14
  5. 195
  6. 70
  7. 45
  8. 7
  9. 56
  10. 42
  11. 12
  12. 18
  13. 12
  14. 10
  15. 14
  16. 6
  17. 42
  18. 30
  19. 18
  20. 90
  21. 7
  22. 11
  23. 12
  24. 4
  25. 15
  26. 12
  27. 12
  28. 120
  29. 90
  30. 3
  31. 64
  32. 5
  33. 42
  34. 7
  35. 8
  36. 56
  37. 105
  38. 9
  39. 6
  40. 200

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