← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 583 · 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 8 and 12.
  2. 2.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  5. 5.Find the LCM of 6, 7 and 9.
  6. 6.Find the HCF of 50 and 30.
  7. 7.Find the LCM of 15, 4 and 6.
  8. 8.Find the LCM of 3, 8 and 7.
  9. 9.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  11. 11.Find the HCF of 126 and 70.
  12. 12.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  13. 13.Find the HCF of 40 and 72.
  14. 14.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  15. 15.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  16. 16.Find the LCM of 8, 11 and 2.
  17. 17.Find the LCM of 14, 2 and 6.
  18. 18.Find the HCF of 28 and 20.
  19. 19.Find the LCM of 4 and 6.
  20. 20.Find the HCF of 36 and 24.
  21. 21.Find the LCM of 18 and 10.
  22. 22.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  23. 23.Find the HCF of 24 and 30.
  24. 24.Find the LCM of 12 and 16.
  25. 25.Find the HCF of 135 and 60.
  26. 26.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  27. 27.Find the LCM of 14 and 6.
  28. 28.Find the LCM of 3, 4 and 11.
  29. 29.Find the LCM of 14, 7 and 15.
  30. 30.Find the HCF of 48 and 60.
  31. 31.Find the LCM of 2, 5 and 15.
  32. 32.Find the HCF of 24 and 20.
  33. 33.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 6 and 7.
  35. 35.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  37. 37.Find the HCF of 6 and 8.
  38. 38.Find the LCM of 10, 11 and 2.
  39. 39.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  40. 40.Find the LCM of 45 and 10.

Answer key

  1. 24
  2. 72
  3. 15
  4. 14
  5. 126
  6. 10
  7. 60
  8. 168
  9. 21
  10. 21
  11. 14
  12. 28
  13. 8
  14. 56
  15. 28
  16. 88
  17. 42
  18. 4
  19. 12
  20. 12
  21. 90
  22. 49
  23. 6
  24. 48
  25. 15
  26. 63
  27. 42
  28. 132
  29. 210
  30. 12
  31. 30
  32. 4
  33. 10
  34. 42
  35. 48
  36. 35
  37. 2
  38. 110
  39. 20
  40. 90

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude