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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 22 · 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 HCF of 15 and 6.
  2. 2.Find the LCM of 3, 4 and 13.
  3. 3.Find the LCM of 8, 3 and 9.
  4. 4.Find the LCM of 15 and 25.
  5. 5.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 3 and 7.
  7. 7.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  9. 9.Find the HCF of 56 and 72.
  10. 10.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  11. 11.Find the HCF of 98 and 28.
  12. 12.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  13. 13.Find the HCF of 20 and 36.
  14. 14.Find the LCM of 6 and 15.
  15. 15.Find the HCF of 30 and 45.
  16. 16.Find the HCF of 50 and 30.
  17. 17.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  18. 18.Find the LCM of 2, 3 and 8.
  19. 19.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  22. 22.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  23. 23.Find the HCF of 24 and 108.
  24. 24.Find the LCM of 2 and 3.
  25. 25.Find the LCM of 8, 9 and 6.
  26. 26.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  27. 27.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 20 and 28.
  30. 30.Find the HCF of 14 and 6.
  31. 31.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  32. 32.Find the LCM of 9 and 12.
  33. 33.Find the LCM of 8 and 12.
  34. 34.Find the LCM of 12, 5 and 3.
  35. 35.Find the LCM of 3, 6 and 9.
  36. 36.Find the HCF of 98 and 42.
  37. 37.Find the HCF of 35 and 28.
  38. 38.Find the LCM of 7 and 9.
  39. 39.Find the LCM of 4, 3 and 5.
  40. 40.Find the LCM of 7, 5 and 10.

Answer key

  1. 3
  2. 156
  3. 72
  4. 75
  5. 63
  6. 21
  7. 35
  8. 25
  9. 8
  10. 56
  11. 14
  12. 25
  13. 4
  14. 30
  15. 15
  16. 10
  17. 63
  18. 24
  19. 32
  20. 18
  21. 6
  22. 20
  23. 12
  24. 6
  25. 72
  26. 49
  27. 28
  28. 10
  29. 140
  30. 2
  31. 16
  32. 36
  33. 24
  34. 60
  35. 18
  36. 14
  37. 7
  38. 63
  39. 60
  40. 70

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