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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 710 · 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.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  2. 2.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  4. 4.Find the LCM of 15 and 25.
  5. 5.Find the HCF of 6 and 8.
  6. 6.Find the LCM of 4 and 6.
  7. 7.Find the LCM of 35 and 15.
  8. 8.Find the LCM of 35 and 20.
  9. 9.Find the HCF of 81 and 36.
  10. 10.Find the LCM of 20 and 8.
  11. 11.Find the LCM of 2, 3 and 8.
  12. 12.Find the HCF of 63 and 49.
  13. 13.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  15. 15.Find the LCM of 9 and 7.
  16. 16.Find the LCM of 6, 11 and 4.
  17. 17.Find the LCM of 8, 5 and 4.
  18. 18.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  19. 19.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  20. 20.Find the HCF of 84 and 70.
  21. 21.Find the LCM of 2, 13 and 3.
  22. 22.Find the HCF of 75 and 120.
  23. 23.Find the LCM of 5, 9 and 15.
  24. 24.Find the LCM of 14, 2 and 10.
  25. 25.Find the LCM of 7, 12 and 14.
  26. 26.Find the HCF of 35 and 45.
  27. 27.Find the HCF of 27 and 15.
  28. 28.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 12, 9 and 5.
  30. 30.Find the HCF of 49 and 35.
  31. 31.Find the HCF of 12 and 15.
  32. 32.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  33. 33.Find the LCM of 15 and 24.
  34. 34.Find the LCM of 6, 10 and 3.
  35. 35.Find the LCM of 27 and 21.
  36. 36.Find the LCM of 18 and 4.
  37. 37.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  38. 38.Find the HCF of 117 and 91.
  39. 39.Find the LCM of 15 and 9.
  40. 40.Find the LCM of 27 and 6.

Answer key

  1. 30
  2. 21
  3. 21
  4. 75
  5. 2
  6. 12
  7. 105
  8. 140
  9. 9
  10. 40
  11. 24
  12. 7
  13. 56
  14. 28
  15. 63
  16. 132
  17. 40
  18. 28
  19. 18
  20. 14
  21. 78
  22. 15
  23. 45
  24. 70
  25. 84
  26. 5
  27. 3
  28. 21
  29. 180
  30. 7
  31. 3
  32. 63
  33. 120
  34. 30
  35. 189
  36. 36
  37. 6
  38. 13
  39. 45
  40. 54

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