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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 682 · 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 6, 12 and 15.
  2. 2.Find the LCM of 12, 4 and 13.
  3. 3.Find the LCM of 28 and 8.
  4. 4.Find the LCM of 15, 8 and 10.
  5. 5.Find the HCF of 75 and 45.
  6. 6.Find the HCF of 81 and 18.
  7. 7.Find the LCM of 13, 8 and 4.
  8. 8.Find the LCM of 42 and 30.
  9. 9.Find the HCF of 48 and 84.
  10. 10.Find the LCM of 6 and 21.
  11. 11.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  13. 13.Find the HCF of 70 and 28.
  14. 14.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  15. 15.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  16. 16.Find the LCM of 6 and 14.
  17. 17.Find the LCM of 9, 5 and 4.
  18. 18.Find the LCM of 4, 13 and 6.
  19. 19.Find the LCM of 48 and 54.
  20. 20.Find the LCM of 7, 12 and 2.
  21. 21.Find the LCM of 14, 8 and 3.
  22. 22.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  23. 23.Find the LCM of 4, 6 and 11.
  24. 24.Find the HCF of 56 and 70.
  25. 25.Find the HCF of 16 and 72.
  26. 26.Find the LCM of 5 and 2.
  27. 27.Find the HCF of 18 and 30.
  28. 28.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  29. 29.Find the HCF of 24 and 28.
  30. 30.Find the HCF of 12 and 30.
  31. 31.Find the HCF of 32 and 36.
  32. 32.Find the HCF of 15 and 25.
  33. 33.Find the LCM of 3 and 2.
  34. 34.Find the LCM of 5, 7 and 14.
  35. 35.Find the HCF of 64 and 72.
  36. 36.Find the LCM of 7 and 4.
  37. 37.Find the HCF of 42 and 49.
  38. 38.Find the LCM of 3, 13 and 4.
  39. 39.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  40. 40.Find the HCF of 108 and 96.

Answer key

  1. 60
  2. 156
  3. 56
  4. 120
  5. 15
  6. 9
  7. 104
  8. 210
  9. 12
  10. 42
  11. 12
  12. 4
  13. 14
  14. 18
  15. 35
  16. 42
  17. 180
  18. 156
  19. 432
  20. 84
  21. 168
  22. 42
  23. 132
  24. 14
  25. 8
  26. 10
  27. 6
  28. 32
  29. 4
  30. 6
  31. 4
  32. 5
  33. 6
  34. 70
  35. 8
  36. 28
  37. 7
  38. 156
  39. 72
  40. 12

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