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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 83 · 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 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  2. 2.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  3. 3.Find the LCM of 12, 4 and 3.
  4. 4.Find the LCM of 25 and 45.
  5. 5.Find the LCM of 8 and 10.
  6. 6.Find the LCM of 15, 12 and 2.
  7. 7.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  8. 8.Find the LCM of 6, 4 and 11.
  9. 9.Find the LCM of 8, 4 and 11.
  10. 10.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  11. 11.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  12. 12.Find the LCM of 2, 9 and 3.
  13. 13.Find the LCM of 4, 5 and 11.
  14. 14.Find the LCM of 10, 9 and 4.
  15. 15.Find the LCM of 4, 6 and 14.
  16. 16.Find the HCF of 15 and 20.
  17. 17.Find the HCF of 4 and 14.
  18. 18.Find the HCF of 10 and 14.
  19. 19.Find the HCF of 18 and 10.
  20. 20.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  22. 22.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  24. 24.Find the LCM of 9 and 6.
  25. 25.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 8, 7 and 4.
  27. 27.Find the HCF of 88 and 77.
  28. 28.Find the HCF of 8 and 20.
  29. 29.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  30. 30.Find the LCM of 2 and 9.
  31. 31.Find the LCM of 8, 2 and 13.
  32. 32.Find the LCM of 5, 4 and 14.
  33. 33.Find the HCF of 27 and 6.
  34. 34.Find the LCM of 21 and 9.
  35. 35.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  36. 36.Find the LCM of 10 and 15.
  37. 37.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  38. 38.Find the LCM of 4, 2 and 13.
  39. 39.Find the LCM of 5, 3 and 7.
  40. 40.Find the LCM of 2, 5 and 3.

Answer key

  1. 12
  2. 21
  3. 12
  4. 225
  5. 40
  6. 60
  7. 54
  8. 132
  9. 88
  10. 81
  11. 21
  12. 18
  13. 220
  14. 180
  15. 84
  16. 5
  17. 2
  18. 2
  19. 2
  20. 18
  21. 9
  22. 63
  23. 10
  24. 18
  25. 10
  26. 56
  27. 11
  28. 4
  29. 21
  30. 18
  31. 104
  32. 140
  33. 3
  34. 63
  35. 12
  36. 30
  37. 64
  38. 52
  39. 105
  40. 30

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