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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 680 · 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 2, 9 and 7.
  2. 2.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 12 and 32.
  4. 4.Find the LCM of 42 and 18.
  5. 5.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  6. 6.Find the LCM of 10, 12 and 4.
  7. 7.Find the LCM of 13, 2 and 4.
  8. 8.Find the LCM of 6, 10 and 12.
  9. 9.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  10. 10.Find the LCM of 30 and 36.
  11. 11.Find the LCM of 9, 10 and 12.
  12. 12.Find the LCM of 5, 4 and 3.
  13. 13.Find the LCM of 32 and 36.
  14. 14.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  15. 15.Find the HCF of 28 and 98.
  16. 16.Find the LCM of 12, 8 and 3.
  17. 17.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  18. 18.Find the LCM of 6, 8 and 3.
  19. 19.Find the HCF of 25 and 10.
  20. 20.Find the HCF of 28 and 63.
  21. 21.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  22. 22.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  23. 23.Find the LCM of 12 and 8.
  24. 24.Find the HCF of 6 and 15.
  25. 25.Find the LCM of 18 and 30.
  26. 26.Find the LCM of 54 and 42.
  27. 27.Find the LCM of 20 and 32.
  28. 28.Find the LCM of 5, 4 and 9.
  29. 29.Find the LCM of 4 and 3.
  30. 30.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  31. 31.Find the LCM of 24 and 15.
  32. 32.Find the LCM of 2, 5 and 4.
  33. 33.Find the LCM of 7, 14 and 6.
  34. 34.Find the HCF of 56 and 24.
  35. 35.Find the LCM of 15 and 20.
  36. 36.Find the HCF of 49 and 42.
  37. 37.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  40. 40.Find the HCF of 42 and 70.

Answer key

  1. 126
  2. 81
  3. 96
  4. 126
  5. 32
  6. 60
  7. 52
  8. 60
  9. 14
  10. 180
  11. 180
  12. 60
  13. 288
  14. 28
  15. 14
  16. 24
  17. 8
  18. 24
  19. 5
  20. 7
  21. 36
  22. 18
  23. 24
  24. 3
  25. 90
  26. 378
  27. 160
  28. 180
  29. 12
  30. 16
  31. 120
  32. 20
  33. 42
  34. 8
  35. 60
  36. 7
  37. 16
  38. 6
  39. 48
  40. 14

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