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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 254 · 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 15, 10 and 6.
  2. 2.Find the LCM of 15, 2 and 6.
  3. 3.Find the LCM of 5 and 3.
  4. 4.Find the HCF of 45 and 63.
  5. 5.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  6. 6.Find the HCF of 12 and 9.
  7. 7.Find the HCF of 4 and 14.
  8. 8.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  9. 9.Find the LCM of 5 and 6.
  10. 10.Find the LCM of 6, 8 and 3.
  11. 11.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  12. 12.Find the LCM of 13, 2 and 7.
  13. 13.Find the LCM of 5, 4 and 7.
  14. 14.Find the HCF of 72 and 84.
  15. 15.Find the LCM of 2, 6 and 12.
  16. 16.Find the LCM of 9 and 4.
  17. 17.Find the HCF of 8 and 18.
  18. 18.Find the LCM of 3, 15 and 9.
  19. 19.Find the HCF of 77 and 44.
  20. 20.Find the LCM of 3, 10 and 15.
  21. 21.Find the LCM of 5, 2 and 4.
  22. 22.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  23. 23.Find the HCF of 63 and 35.
  24. 24.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  26. 26.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  28. 28.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  29. 29.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  30. 30.Find the HCF of 9 and 21.
  31. 31.Find the LCM of 7, 10 and 15.
  32. 32.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  33. 33.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  34. 34.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  35. 35.Find the LCM of 15, 14 and 5.
  36. 36.Find the LCM of 16 and 14.
  37. 37.Find the LCM of 15 and 35.
  38. 38.Find the HCF of 6 and 14.
  39. 39.Find the HCF of 45 and 27.
  40. 40.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?

Answer key

  1. 30
  2. 30
  3. 15
  4. 9
  5. 30
  6. 3
  7. 2
  8. 45
  9. 30
  10. 24
  11. 24
  12. 182
  13. 140
  14. 12
  15. 12
  16. 36
  17. 2
  18. 45
  19. 11
  20. 30
  21. 20
  22. 28
  23. 7
  24. 25
  25. 36
  26. 24
  27. 35
  28. 15
  29. 21
  30. 3
  31. 210
  32. 42
  33. 25
  34. 20
  35. 210
  36. 112
  37. 105
  38. 2
  39. 9
  40. 56

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