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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 121 · 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 5, 13 and 10.
  2. 2.Find the LCM of 8, 11 and 4.
  3. 3.Find the LCM of 10, 8 and 4.
  4. 4.Find the HCF of 28 and 42.
  5. 5.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 5 and 6.
  7. 7.Find the HCF of 36 and 60.
  8. 8.Find the LCM of 3, 2 and 13.
  9. 9.Find the HCF of 45 and 63.
  10. 10.Find the LCM of 5 and 9.
  11. 11.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  12. 12.Find the HCF of 40 and 32.
  13. 13.Find the HCF of 135 and 120.
  14. 14.Find the LCM of 9 and 5.
  15. 15.Find the LCM of 5, 12 and 9.
  16. 16.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 11, 10 and 5.
  18. 18.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  19. 19.Find the LCM of 6, 9 and 2.
  20. 20.Find the LCM of 3 and 2.
  21. 21.Find the LCM of 35 and 20.
  22. 22.Find the LCM of 10 and 4.
  23. 23.Find the HCF of 60 and 45.
  24. 24.Find the HCF of 84 and 60.
  25. 25.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  26. 26.Find the LCM of 14 and 18.
  27. 27.Find the LCM of 8, 3 and 9.
  28. 28.Find the LCM of 25 and 40.
  29. 29.Find the HCF of 60 and 36.
  30. 30.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  31. 31.Find the HCF of 21 and 15.
  32. 32.Find the HCF of 50 and 70.
  33. 33.Find the LCM of 20 and 28.
  34. 34.Find the HCF of 10 and 6.
  35. 35.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  36. 36.Find the LCM of 7, 2 and 5.
  37. 37.Find the LCM of 2, 11 and 10.
  38. 38.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  39. 39.Find the HCF of 50 and 40.
  40. 40.Find the HCF of 65 and 26.

Answer key

  1. 130
  2. 88
  3. 40
  4. 14
  5. 28
  6. 30
  7. 12
  8. 78
  9. 9
  10. 45
  11. 81
  12. 8
  13. 15
  14. 45
  15. 180
  16. 14
  17. 110
  18. 35
  19. 18
  20. 6
  21. 140
  22. 20
  23. 15
  24. 12
  25. 45
  26. 126
  27. 72
  28. 200
  29. 12
  30. 16
  31. 3
  32. 10
  33. 140
  34. 2
  35. 24
  36. 70
  37. 110
  38. 32
  39. 10
  40. 13

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