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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 155 · 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 15, 4 and 9.
  2. 2.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  3. 3.Find the HCF of 21 and 56.
  4. 4.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 6, 2 and 5.
  6. 6.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 18 and 14.
  8. 8.Find the HCF of 81 and 18.
  9. 9.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  10. 10.Find the LCM of 9 and 12.
  11. 11.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 70 and 112.
  13. 13.Find the LCM of 5, 8 and 3.
  14. 14.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  16. 16.Find the LCM of 6 and 10.
  17. 17.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  18. 18.Find the LCM of 8 and 5.
  19. 19.Find the HCF of 25 and 45.
  20. 20.Find the HCF of 25 and 30.
  21. 21.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  22. 22.Find the HCF of 6 and 21.
  23. 23.Find the HCF of 15 and 35.
  24. 24.Find the HCF of 32 and 12.
  25. 25.Find the HCF of 36 and 84.
  26. 26.Find the LCM of 35 and 15.
  27. 27.Find the HCF of 78 and 91.
  28. 28.Find the HCF of 49 and 56.
  29. 29.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 30 and 12.
  31. 31.Find the LCM of 5, 8 and 6.
  32. 32.Find the LCM of 15, 4 and 6.
  33. 33.Find the LCM of 15, 3 and 6.
  34. 34.Find the HCF of 28 and 32.
  35. 35.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  37. 37.Find the HCF of 24 and 20.
  38. 38.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  39. 39.Find the HCF of 48 and 108.
  40. 40.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?

Answer key

  1. 180
  2. 21
  3. 7
  4. 6
  5. 30
  6. 6
  7. 126
  8. 9
  9. 28
  10. 36
  11. 30
  12. 14
  13. 120
  14. 40
  15. 20
  16. 30
  17. 10
  18. 40
  19. 5
  20. 5
  21. 8
  22. 3
  23. 5
  24. 4
  25. 12
  26. 105
  27. 13
  28. 7
  29. 4
  30. 60
  31. 120
  32. 60
  33. 30
  34. 4
  35. 20
  36. 24
  37. 4
  38. 6
  39. 12
  40. 30

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