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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 568 · 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 36 and 20.
  2. 2.Find the HCF of 6 and 15.
  3. 3.Find the HCF of 42 and 18.
  4. 4.Find the LCM of 8, 4 and 2.
  5. 5.Find the LCM of 16 and 20.
  6. 6.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 11, 6 and 3.
  9. 9.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 15, 7 and 6.
  11. 11.Find the HCF of 15 and 35.
  12. 12.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  13. 13.Find the HCF of 4 and 18.
  14. 14.Find the HCF of 16 and 72.
  15. 15.Find the LCM of 8, 6 and 15.
  16. 16.Find the HCF of 15 and 21.
  17. 17.Find the LCM of 10, 13 and 2.
  18. 18.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  19. 19.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  20. 20.Find the HCF of 6 and 4.
  21. 21.Find the HCF of 72 and 60.
  22. 22.Find the HCF of 40 and 64.
  23. 23.Find the LCM of 28 and 8.
  24. 24.Find the HCF of 35 and 63.
  25. 25.Find the HCF of 72 and 16.
  26. 26.Find the LCM of 54 and 42.
  27. 27.Find the LCM of 7 and 2.
  28. 28.Find the LCM of 9, 12 and 8.
  29. 29.Find the LCM of 20 and 45.
  30. 30.Find the LCM of 15, 3 and 13.
  31. 31.Find the HCF of 44 and 55.
  32. 32.Find the LCM of 8 and 9.
  33. 33.Find the HCF of 28 and 63.
  34. 34.Find the LCM of 2, 5 and 11.
  35. 35.Find the LCM of 35 and 25.
  36. 36.Find the LCM of 4, 7 and 3.
  37. 37.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  38. 38.Find the HCF of 10 and 45.
  39. 39.Find the LCM of 18 and 14.
  40. 40.Find the LCM of 2, 7 and 9.

Answer key

  1. 180
  2. 3
  3. 6
  4. 8
  5. 80
  6. 15
  7. 9
  8. 66
  9. 18
  10. 210
  11. 5
  12. 35
  13. 2
  14. 8
  15. 120
  16. 3
  17. 130
  18. 49
  19. 63
  20. 2
  21. 12
  22. 8
  23. 56
  24. 7
  25. 8
  26. 378
  27. 14
  28. 72
  29. 180
  30. 195
  31. 11
  32. 72
  33. 7
  34. 110
  35. 175
  36. 84
  37. 12
  38. 5
  39. 126
  40. 126

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