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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 578 · 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 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 8, 7 and 12.
  3. 3.Find the HCF of 18 and 15.
  4. 4.Find the HCF of 12 and 20.
  5. 5.Find the HCF of 28 and 49.
  6. 6.Find the HCF of 45 and 75.
  7. 7.Find the HCF of 21 and 24.
  8. 8.Find the HCF of 55 and 44.
  9. 9.Find the LCM of 5 and 8.
  10. 10.Find the LCM of 2, 9 and 6.
  11. 11.Find the LCM of 2, 11 and 5.
  12. 12.Find the LCM of 16 and 36.
  13. 13.Find the LCM of 7 and 3.
  14. 14.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  15. 15.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  16. 16.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  17. 17.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  18. 18.Find the HCF of 15 and 9.
  19. 19.Find the HCF of 70 and 28.
  20. 20.Find the HCF of 16 and 6.
  21. 21.Find the LCM of 20 and 12.
  22. 22.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  23. 23.Find the HCF of 40 and 48.
  24. 24.Find the HCF of 30 and 70.
  25. 25.Find the HCF of 36 and 84.
  26. 26.Find the HCF of 48 and 36.
  27. 27.Find the HCF of 98 and 56.
  28. 28.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  29. 29.Find the LCM of 5 and 3.
  30. 30.Find the LCM of 10 and 45.
  31. 31.Find the LCM of 11, 3 and 5.
  32. 32.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  34. 34.Find the LCM of 10 and 14.
  35. 35.Find the HCF of 44 and 99.
  36. 36.Find the LCM of 3 and 8.
  37. 37.Find the LCM of 10, 11 and 4.
  38. 38.Find the LCM of 9 and 12.
  39. 39.Find the LCM of 6, 3 and 15.
  40. 40.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?

Answer key

  1. 30
  2. 168
  3. 3
  4. 4
  5. 7
  6. 15
  7. 3
  8. 11
  9. 40
  10. 18
  11. 110
  12. 144
  13. 21
  14. 12
  15. 6
  16. 14
  17. 12
  18. 3
  19. 14
  20. 2
  21. 60
  22. 42
  23. 8
  24. 10
  25. 12
  26. 12
  27. 14
  28. 72
  29. 15
  30. 90
  31. 165
  32. 40
  33. 56
  34. 70
  35. 11
  36. 24
  37. 220
  38. 36
  39. 30
  40. 18

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