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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 49 · 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 36 and 20.
  2. 2.Find the LCM of 24 and 18.
  3. 3.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  4. 4.Find the LCM of 3 and 7.
  5. 5.Find the LCM of 3, 6 and 10.
  6. 6.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  7. 7.Find the LCM of 13, 3 and 4.
  8. 8.Find the HCF of 105 and 135.
  9. 9.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  11. 11.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 4, 2 and 15.
  13. 13.Find the LCM of 14, 4 and 3.
  14. 14.Find the HCF of 18 and 63.
  15. 15.Find the LCM of 8 and 9.
  16. 16.Find the HCF of 42 and 35.
  17. 17.Find the LCM of 6 and 21.
  18. 18.Find the LCM of 3 and 5.
  19. 19.Find the HCF of 65 and 91.
  20. 20.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  22. 22.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  23. 23.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 10 and 4.
  25. 25.Find the LCM of 16 and 36.
  26. 26.Find the LCM of 12 and 10.
  27. 27.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  28. 28.Find the LCM of 9 and 2.
  29. 29.Find the HCF of 105 and 75.
  30. 30.Find the HCF of 36 and 24.
  31. 31.Find the LCM of 6, 9 and 10.
  32. 32.Find the LCM of 25 and 30.
  33. 33.Find the LCM of 14, 4 and 6.
  34. 34.Find the LCM of 15, 7 and 3.
  35. 35.Find the HCF of 16 and 14.
  36. 36.Find the LCM of 21 and 9.
  37. 37.Find the HCF of 15 and 27.
  38. 38.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  39. 39.Find the HCF of 30 and 54.
  40. 40.Find the HCF of 16 and 18.

Answer key

  1. 180
  2. 72
  3. 15
  4. 21
  5. 30
  6. 81
  7. 156
  8. 15
  9. 14
  10. 10
  11. 18
  12. 60
  13. 84
  14. 9
  15. 72
  16. 7
  17. 42
  18. 15
  19. 13
  20. 42
  21. 40
  22. 35
  23. 64
  24. 20
  25. 144
  26. 60
  27. 16
  28. 18
  29. 15
  30. 12
  31. 90
  32. 150
  33. 84
  34. 105
  35. 2
  36. 63
  37. 3
  38. 15
  39. 6
  40. 2

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