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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 99 · 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 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  2. 2.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 4, 14 and 8.
  4. 4.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 7 and 2.
  6. 6.Find the HCF of 42 and 36.
  7. 7.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  8. 8.Find the LCM of 2, 14 and 12.
  9. 9.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  10. 10.Find the LCM of 2, 4 and 10.
  11. 11.Find the LCM of 2, 13 and 12.
  12. 12.Find the HCF of 91 and 26.
  13. 13.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  14. 14.Find the HCF of 21 and 49.
  15. 15.Find the HCF of 21 and 18.
  16. 16.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  18. 18.Find the LCM of 9, 8 and 12.
  19. 19.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  20. 20.Find the LCM of 11, 2 and 5.
  21. 21.Find the HCF of 45 and 18.
  22. 22.Find the HCF of 112 and 126.
  23. 23.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  25. 25.Find the LCM of 35 and 15.
  26. 26.Find the LCM of 4, 12 and 6.
  27. 27.Find the LCM of 10, 5 and 7.
  28. 28.Find the LCM of 14 and 4.
  29. 29.Find the HCF of 72 and 45.
  30. 30.Find the LCM of 16 and 18.
  31. 31.Find the LCM of 10 and 6.
  32. 32.Find the LCM of 15, 3 and 6.
  33. 33.Find the LCM of 5, 6 and 15.
  34. 34.Find the LCM of 40 and 15.
  35. 35.Find the HCF of 56 and 126.
  36. 36.Find the HCF of 12 and 16.
  37. 37.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  38. 38.Find the LCM of 4, 9 and 8.
  39. 39.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  40. 40.Find the LCM of 2, 5 and 3.

Answer key

  1. 35
  2. 28
  3. 56
  4. 40
  5. 14
  6. 6
  7. 6
  8. 84
  9. 14
  10. 20
  11. 156
  12. 13
  13. 64
  14. 7
  15. 3
  16. 10
  17. 48
  18. 72
  19. 72
  20. 110
  21. 9
  22. 14
  23. 16
  24. 64
  25. 105
  26. 12
  27. 70
  28. 28
  29. 9
  30. 144
  31. 30
  32. 30
  33. 30
  34. 120
  35. 14
  36. 4
  37. 24
  38. 72
  39. 12
  40. 30

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