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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 647 · 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 4, 15 and 10.
  2. 2.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  3. 3.Find the HCF of 91 and 78.
  4. 4.Find the LCM of 15, 3 and 7.
  5. 5.Find the HCF of 15 and 35.
  6. 6.Find the HCF of 35 and 20.
  7. 7.Find the LCM of 3 and 2.
  8. 8.Find the LCM of 8, 2 and 11.
  9. 9.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  10. 10.Find the HCF of 84 and 70.
  11. 11.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  12. 12.Find the HCF of 42 and 56.
  13. 13.Find the LCM of 20 and 45.
  14. 14.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  15. 15.Find the HCF of 70 and 126.
  16. 16.Find the LCM of 9 and 2.
  17. 17.Find the LCM of 10, 6 and 3.
  18. 18.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  19. 19.Find the HCF of 45 and 35.
  20. 20.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  21. 21.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  24. 24.Find the HCF of 16 and 12.
  25. 25.Find the HCF of 117 and 52.
  26. 26.Find the LCM of 14 and 18.
  27. 27.Find the HCF of 12 and 15.
  28. 28.Find the LCM of 30 and 24.
  29. 29.Find the LCM of 8, 5 and 3.
  30. 30.Find the LCM of 2, 5 and 4.
  31. 31.Find the LCM of 2, 9 and 15.
  32. 32.Find the HCF of 24 and 84.
  33. 33.Find the HCF of 64 and 56.
  34. 34.Find the LCM of 5 and 3.
  35. 35.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  36. 36.Find the LCM of 12 and 30.
  37. 37.Find the LCM of 7, 2 and 9.
  38. 38.Find the LCM of 30 and 42.
  39. 39.Find the LCM of 20 and 24.
  40. 40.Find the HCF of 10 and 8.

Answer key

  1. 60
  2. 12
  3. 13
  4. 105
  5. 5
  6. 5
  7. 6
  8. 88
  9. 28
  10. 14
  11. 32
  12. 14
  13. 180
  14. 56
  15. 14
  16. 18
  17. 30
  18. 35
  19. 5
  20. 54
  21. 24
  22. 10
  23. 56
  24. 4
  25. 13
  26. 126
  27. 3
  28. 120
  29. 120
  30. 20
  31. 90
  32. 12
  33. 8
  34. 15
  35. 30
  36. 60
  37. 126
  38. 210
  39. 120
  40. 2

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