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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 106 · 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 3, 7 and 9.
  2. 2.Find the LCM of 5, 2 and 9.
  3. 3.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  4. 4.Find the LCM of 15, 5 and 3.
  5. 5.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  6. 6.Find the HCF of 20 and 32.
  7. 7.Find the LCM of 7, 14 and 2.
  8. 8.Find the LCM of 15 and 25.
  9. 9.Find the HCF of 10 and 6.
  10. 10.Find the LCM of 42 and 36.
  11. 11.Find the LCM of 15 and 9.
  12. 12.Find the HCF of 49 and 14.
  13. 13.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  14. 14.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  15. 15.Find the HCF of 30 and 20.
  16. 16.Find the LCM of 6, 14 and 10.
  17. 17.Find the HCF of 22 and 99.
  18. 18.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  19. 19.Find the LCM of 21 and 12.
  20. 20.Find the LCM of 3, 14 and 6.
  21. 21.Find the LCM of 2, 6 and 9.
  22. 22.Find the HCF of 24 and 28.
  23. 23.Find the LCM of 2 and 5.
  24. 24.Find the LCM of 8, 4 and 14.
  25. 25.Find the LCM of 13, 3 and 9.
  26. 26.Find the LCM of 3, 15 and 5.
  27. 27.Find the LCM of 10 and 8.
  28. 28.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  29. 29.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  30. 30.Find the HCF of 98 and 42.
  31. 31.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  33. 33.Find the LCM of 15 and 20.
  34. 34.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  35. 35.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  36. 36.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  37. 37.Find the HCF of 45 and 60.
  38. 38.Find the LCM of 15, 5 and 4.
  39. 39.Find the LCM of 14, 6 and 4.
  40. 40.Find the HCF of 45 and 25.

Answer key

  1. 63
  2. 90
  3. 20
  4. 15
  5. 20
  6. 4
  7. 14
  8. 75
  9. 2
  10. 252
  11. 45
  12. 7
  13. 24
  14. 12
  15. 10
  16. 210
  17. 11
  18. 12
  19. 84
  20. 42
  21. 18
  22. 4
  23. 10
  24. 56
  25. 117
  26. 15
  27. 40
  28. 18
  29. 72
  30. 14
  31. 27
  32. 27
  33. 60
  34. 36
  35. 30
  36. 28
  37. 15
  38. 60
  39. 84
  40. 5

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