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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 375 · 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.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 2, 6 and 13.
  3. 3.Find the LCM of 3, 13 and 6.
  4. 4.Find the LCM of 48 and 42.
  5. 5.Find the HCF of 45 and 75.
  6. 6.Find the LCM of 4, 3 and 13.
  7. 7.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 9 and 8.
  9. 9.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  10. 10.Find the LCM of 16 and 12.
  11. 11.Find the HCF of 126 and 28.
  12. 12.Find the LCM of 2, 6 and 4.
  13. 13.Find the LCM of 2 and 3.
  14. 14.Find the LCM of 25 and 20.
  15. 15.Find the LCM of 3, 10 and 6.
  16. 16.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  17. 17.Find the HCF of 12 and 10.
  18. 18.Find the LCM of 5 and 9.
  19. 19.Find the HCF of 12 and 16.
  20. 20.Find the HCF of 96 and 36.
  21. 21.Find the LCM of 3, 5 and 14.
  22. 22.Find the HCF of 56 and 70.
  23. 23.Find the LCM of 14, 3 and 5.
  24. 24.Find the LCM of 3, 14 and 7.
  25. 25.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  26. 26.Find the HCF of 21 and 18.
  27. 27.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 48 and 30.
  29. 29.Find the HCF of 22 and 55.
  30. 30.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  31. 31.Find the LCM of 5, 14 and 15.
  32. 32.Find the LCM of 3 and 5.
  33. 33.Find the LCM of 3, 13 and 2.
  34. 34.Find the LCM of 6 and 14.
  35. 35.Find the LCM of 8 and 9.
  36. 36.Find the HCF of 35 and 14.
  37. 37.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  38. 38.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  39. 39.Find the HCF of 50 and 60.
  40. 40.Find the LCM of 25 and 15.

Answer key

  1. 16
  2. 78
  3. 78
  4. 336
  5. 15
  6. 156
  7. 35
  8. 72
  9. 18
  10. 48
  11. 14
  12. 12
  13. 6
  14. 100
  15. 30
  16. 16
  17. 2
  18. 45
  19. 4
  20. 12
  21. 210
  22. 14
  23. 210
  24. 42
  25. 14
  26. 3
  27. 20
  28. 240
  29. 11
  30. 12
  31. 210
  32. 15
  33. 78
  34. 42
  35. 72
  36. 7
  37. 42
  38. 36
  39. 10
  40. 75

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