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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 559 · 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 42 and 54.
  2. 2.Find the LCM of 8, 7 and 2.
  3. 3.Find the HCF of 22 and 33.
  4. 4.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  5. 5.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  6. 6.Find the LCM of 10, 6 and 4.
  7. 7.Find the LCM of 8, 9 and 2.
  8. 8.Find the HCF of 10 and 14.
  9. 9.Find the HCF of 20 and 24.
  10. 10.Find the LCM of 12, 15 and 9.
  11. 11.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  12. 12.Find the HCF of 49 and 56.
  13. 13.Find the LCM of 7 and 4.
  14. 14.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  15. 15.Find the LCM of 15, 5 and 8.
  16. 16.Find the LCM of 14, 7 and 4.
  17. 17.Find the LCM of 10 and 25.
  18. 18.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  19. 19.Find the HCF of 65 and 117.
  20. 20.Find the LCM of 20 and 15.
  21. 21.Find the LCM of 9, 7 and 6.
  22. 22.Find the LCM of 6 and 21.
  23. 23.Find the LCM of 3, 2 and 4.
  24. 24.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  25. 25.Find the LCM of 9 and 24.
  26. 26.Find the HCF of 28 and 20.
  27. 27.Find the LCM of 12 and 15.
  28. 28.Find the HCF of 15 and 10.
  29. 29.Find the LCM of 13, 9 and 3.
  30. 30.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  31. 31.Find the LCM of 45 and 10.
  32. 32.Find the HCF of 50 and 70.
  33. 33.Find the LCM of 2, 13 and 14.
  34. 34.Find the LCM of 5 and 8.
  35. 35.Find the LCM of 4, 11 and 5.
  36. 36.Find the HCF of 45 and 18.
  37. 37.Find the HCF of 105 and 75.
  38. 38.Find the HCF of 44 and 55.
  39. 39.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  40. 40.Find the LCM of 4, 9 and 3.

Answer key

  1. 378
  2. 56
  3. 11
  4. 10
  5. 12
  6. 60
  7. 72
  8. 2
  9. 4
  10. 180
  11. 15
  12. 7
  13. 28
  14. 36
  15. 120
  16. 28
  17. 50
  18. 16
  19. 13
  20. 60
  21. 126
  22. 42
  23. 12
  24. 32
  25. 72
  26. 4
  27. 60
  28. 5
  29. 117
  30. 28
  31. 90
  32. 10
  33. 182
  34. 40
  35. 220
  36. 9
  37. 15
  38. 11
  39. 6
  40. 36

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