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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 53 · 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 20 and 32.
  2. 2.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  3. 3.Find the HCF of 18 and 24.
  4. 4.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  5. 5.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  6. 6.Find the LCM of 9 and 24.
  7. 7.Find the HCF of 60 and 24.
  8. 8.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  9. 9.Find the HCF of 84 and 72.
  10. 10.Find the LCM of 40 and 45.
  11. 11.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  12. 12.Find the LCM of 10, 14 and 15.
  13. 13.Find the LCM of 28 and 16.
  14. 14.Find the HCF of 105 and 45.
  15. 15.Find the LCM of 6 and 10.
  16. 16.Find the HCF of 55 and 22.
  17. 17.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  18. 18.Find the HCF of 42 and 12.
  19. 19.Find the LCM of 16 and 28.
  20. 20.Find the LCM of 35 and 25.
  21. 21.Find the LCM of 30 and 12.
  22. 22.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 6, 7 and 3.
  24. 24.Find the LCM of 8 and 6.
  25. 25.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  26. 26.Find the LCM of 11, 2 and 7.
  27. 27.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  28. 28.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  29. 29.Find the LCM of 21 and 6.
  30. 30.Find the LCM of 4, 6 and 15.
  31. 31.Find the LCM of 12, 10 and 9.
  32. 32.Find the LCM of 36 and 42.
  33. 33.Find the LCM of 6, 9 and 14.
  34. 34.Find the HCF of 65 and 91.
  35. 35.Find the HCF of 56 and 98.
  36. 36.Find the LCM of 2, 8 and 11.
  37. 37.Find the LCM of 15 and 10.
  38. 38.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?

Answer key

  1. 160
  2. 20
  3. 6
  4. 25
  5. 48
  6. 72
  7. 12
  8. 6
  9. 12
  10. 360
  11. 54
  12. 210
  13. 112
  14. 15
  15. 30
  16. 11
  17. 16
  18. 6
  19. 112
  20. 175
  21. 60
  22. 30
  23. 42
  24. 24
  25. 21
  26. 154
  27. 12
  28. 12
  29. 42
  30. 60
  31. 180
  32. 252
  33. 126
  34. 13
  35. 14
  36. 88
  37. 30
  38. 21
  39. 48
  40. 15

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