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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 449 · 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 4 and 5.
  2. 2.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 6, 2 and 3.
  4. 4.Find the LCM of 18 and 12.
  5. 5.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  6. 6.Find the LCM of 12 and 28.
  7. 7.Find the HCF of 70 and 56.
  8. 8.Find the LCM of 14, 5 and 15.
  9. 9.Find the LCM of 7, 3 and 5.
  10. 10.Find the HCF of 135 and 60.
  11. 11.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  12. 12.Find the LCM of 8, 12 and 9.
  13. 13.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  14. 14.Find the LCM of 6 and 10.
  15. 15.Find the LCM of 7 and 9.
  16. 16.Find the HCF of 72 and 27.
  17. 17.Find the HCF of 14 and 12.
  18. 18.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  19. 19.Find the LCM of 5, 14 and 6.
  20. 20.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  21. 21.Find the HCF of 117 and 104.
  22. 22.Find the HCF of 45 and 63.
  23. 23.Find the LCM of 5, 2 and 15.
  24. 24.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  25. 25.Find the HCF of 12 and 16.
  26. 26.Find the LCM of 2, 4 and 8.
  27. 27.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  28. 28.Find the LCM of 3, 15 and 9.
  29. 29.Find the HCF of 6 and 8.
  30. 30.Find the LCM of 3, 10 and 14.
  31. 31.Find the HCF of 70 and 28.
  32. 32.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 3, 8 and 7.
  34. 34.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  35. 35.Find the HCF of 60 and 84.
  36. 36.Find the LCM of 3, 2 and 13.
  37. 37.Find the LCM of 14, 3 and 10.
  38. 38.Find the LCM of 8 and 7.
  39. 39.Find the LCM of 6, 10 and 8.
  40. 40.Find the HCF of 36 and 27.

Answer key

  1. 20
  2. 32
  3. 6
  4. 36
  5. 10
  6. 84
  7. 14
  8. 210
  9. 105
  10. 15
  11. 16
  12. 72
  13. 12
  14. 30
  15. 63
  16. 9
  17. 2
  18. 16
  19. 210
  20. 35
  21. 13
  22. 9
  23. 30
  24. 15
  25. 4
  26. 8
  27. 35
  28. 45
  29. 2
  30. 210
  31. 14
  32. 32
  33. 168
  34. 49
  35. 12
  36. 78
  37. 210
  38. 56
  39. 120
  40. 9

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