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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 57 · 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 7 and 2.
  2. 2.Find the LCM of 10, 7 and 2.
  3. 3.Find the LCM of 45 and 40.
  4. 4.Find the HCF of 112 and 70.
  5. 5.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 6 and 16.
  7. 7.Find the LCM of 13, 7 and 14.
  8. 8.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  9. 9.Find the LCM of 9 and 21.
  10. 10.Find the HCF of 27 and 21.
  11. 11.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  12. 12.Find the HCF of 52 and 39.
  13. 13.Find the HCF of 15 and 12.
  14. 14.Find the LCM of 13, 2 and 8.
  15. 15.Find the HCF of 45 and 120.
  16. 16.Find the HCF of 108 and 48.
  17. 17.Find the LCM of 6, 9 and 13.
  18. 18.Find the HCF of 45 and 63.
  19. 19.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  21. 21.Find the HCF of 120 and 45.
  22. 22.Find the LCM of 2, 3 and 6.
  23. 23.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  25. 25.Find the LCM of 6, 9 and 10.
  26. 26.Find the LCM of 7, 9 and 3.
  27. 27.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  28. 28.Find the LCM of 12, 6 and 11.
  29. 29.Find the LCM of 4 and 5.
  30. 30.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 10 and 16.
  32. 32.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  33. 33.Find the LCM of 15, 10 and 4.
  34. 34.Find the LCM of 8 and 14.
  35. 35.Find the LCM of 2, 6 and 11.
  36. 36.Find the LCM of 36 and 8.
  37. 37.Find the HCF of 81 and 18.
  38. 38.Find the LCM of 12 and 9.
  39. 39.Find the HCF of 21 and 28.
  40. 40.Find the LCM of 24 and 21.

Answer key

  1. 14
  2. 70
  3. 360
  4. 14
  5. 40
  6. 48
  7. 182
  8. 40
  9. 63
  10. 3
  11. 15
  12. 13
  13. 3
  14. 104
  15. 15
  16. 12
  17. 234
  18. 9
  19. 35
  20. 8
  21. 15
  22. 6
  23. 15
  24. 4
  25. 90
  26. 63
  27. 20
  28. 132
  29. 20
  30. 15
  31. 80
  32. 64
  33. 60
  34. 56
  35. 66
  36. 72
  37. 9
  38. 36
  39. 7
  40. 168

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