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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 281 · 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 20 and 36.
  2. 2.Find the LCM of 24 and 9.
  3. 3.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  4. 4.Find the LCM of 2, 7 and 3.
  5. 5.Find the LCM of 6, 15 and 14.
  6. 6.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 28 and 70.
  8. 8.Find the LCM of 15, 3 and 2.
  9. 9.Find the HCF of 108 and 84.
  10. 10.Find the LCM of 10, 3 and 5.
  11. 11.Find the HCF of 42 and 54.
  12. 12.Find the LCM of 8, 3 and 14.
  13. 13.Find the LCM of 9 and 5.
  14. 14.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  15. 15.Find the LCM of 36 and 32.
  16. 16.Find the LCM of 4, 3 and 5.
  17. 17.Find the LCM of 21 and 9.
  18. 18.Find the HCF of 90 and 50.
  19. 19.Find the LCM of 3, 6 and 7.
  20. 20.Find the HCF of 40 and 45.
  21. 21.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  22. 22.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  23. 23.Find the LCM of 16 and 6.
  24. 24.Find the LCM of 36 and 20.
  25. 25.Find the LCM of 2, 12 and 10.
  26. 26.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  28. 28.Find the HCF of 36 and 42.
  29. 29.Find the HCF of 28 and 98.
  30. 30.Find the LCM of 10 and 14.
  31. 31.Find the LCM of 45 and 25.
  32. 32.Find the HCF of 48 and 108.
  33. 33.Find the LCM of 15 and 6.
  34. 34.Find the HCF of 60 and 105.
  35. 35.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 13, 3 and 15.
  37. 37.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 10 and 18.
  40. 40.Find the LCM of 6, 14 and 9.

Answer key

  1. 180
  2. 72
  3. 14
  4. 42
  5. 210
  6. 54
  7. 14
  8. 30
  9. 12
  10. 30
  11. 6
  12. 168
  13. 45
  14. 72
  15. 288
  16. 60
  17. 63
  18. 10
  19. 42
  20. 5
  21. 15
  22. 72
  23. 48
  24. 180
  25. 60
  26. 16
  27. 8
  28. 6
  29. 14
  30. 70
  31. 225
  32. 12
  33. 30
  34. 15
  35. 18
  36. 195
  37. 45
  38. 15
  39. 90
  40. 126

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