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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 554 · 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 12, 11 and 6.
  2. 2.Find the LCM of 10, 7 and 4.
  3. 3.Find the HCF of 28 and 20.
  4. 4.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  5. 5.Find the LCM of 10 and 15.
  6. 6.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  7. 7.Find the HCF of 72 and 81.
  8. 8.Find the HCF of 25 and 40.
  9. 9.Find the LCM of 3, 4 and 13.
  10. 10.Find the HCF of 48 and 30.
  11. 11.Find the LCM of 2, 12 and 7.
  12. 12.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  13. 13.Find the LCM of 2, 3 and 5.
  14. 14.Find the HCF of 8 and 36.
  15. 15.Find the LCM of 3, 5 and 2.
  16. 16.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  18. 18.Find the LCM of 18 and 24.
  19. 19.Find the LCM of 15 and 24.
  20. 20.Find the HCF of 70 and 60.
  21. 21.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  22. 22.Find the HCF of 28 and 12.
  23. 23.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  24. 24.Find the LCM of 10, 3 and 7.
  25. 25.Find the LCM of 18 and 4.
  26. 26.Find the LCM of 12 and 16.
  27. 27.Find the LCM of 9 and 6.
  28. 28.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  29. 29.Find the LCM of 9, 8 and 6.
  30. 30.Find the HCF of 56 and 49.
  31. 31.Find the LCM of 5 and 3.
  32. 32.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  33. 33.Find the HCF of 104 and 117.
  34. 34.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  35. 35.Find the HCF of 28 and 70.
  36. 36.Find the LCM of 16 and 10.
  37. 37.Find the HCF of 25 and 15.
  38. 38.Find the LCM of 18 and 48.
  39. 39.Find the HCF of 49 and 42.
  40. 40.Find the LCM of 20 and 12.

Answer key

  1. 132
  2. 140
  3. 4
  4. 15
  5. 30
  6. 15
  7. 9
  8. 5
  9. 156
  10. 6
  11. 84
  12. 18
  13. 30
  14. 4
  15. 30
  16. 56
  17. 24
  18. 72
  19. 120
  20. 10
  21. 20
  22. 4
  23. 72
  24. 210
  25. 36
  26. 48
  27. 18
  28. 15
  29. 72
  30. 7
  31. 15
  32. 45
  33. 13
  34. 40
  35. 14
  36. 80
  37. 5
  38. 144
  39. 7
  40. 60

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