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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 123 · 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 12, 4 and 5.
  2. 2.Find the HCF of 42 and 56.
  3. 3.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  4. 4.Find the LCM of 11, 4 and 3.
  5. 5.Find the LCM of 6, 5 and 9.
  6. 6.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  7. 7.Find the LCM of 4, 12 and 3.
  8. 8.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  9. 9.Find the HCF of 117 and 91.
  10. 10.Find the LCM of 10, 4 and 7.
  11. 11.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  12. 12.Find the HCF of 4 and 6.
  13. 13.Find the HCF of 18 and 10.
  14. 14.Find the LCM of 2, 15 and 3.
  15. 15.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  16. 16.Find the HCF of 104 and 91.
  17. 17.Find the HCF of 24 and 84.
  18. 18.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 77 and 55.
  20. 20.Find the HCF of 63 and 35.
  21. 21.Find the HCF of 126 and 98.
  22. 22.Find the HCF of 16 and 36.
  23. 23.Find the HCF of 30 and 45.
  24. 24.Find the LCM of 4, 2 and 8.
  25. 25.Find the LCM of 2, 8 and 3.
  26. 26.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  27. 27.Find the HCF of 16 and 6.
  28. 28.Find the LCM of 12 and 16.
  29. 29.Find the LCM of 21 and 15.
  30. 30.Find the HCF of 70 and 126.
  31. 31.Find the LCM of 18 and 24.
  32. 32.Find the LCM of 20 and 16.
  33. 33.Find the LCM of 12, 3 and 8.
  34. 34.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  35. 35.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  36. 36.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  37. 37.Find the LCM of 6, 3 and 5.
  38. 38.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  39. 39.Find the LCM of 42 and 54.
  40. 40.Find the LCM of 7, 10 and 3.

Answer key

  1. 60
  2. 14
  3. 48
  4. 132
  5. 90
  6. 56
  7. 12
  8. 6
  9. 13
  10. 140
  11. 56
  12. 2
  13. 2
  14. 30
  15. 27
  16. 13
  17. 12
  18. 28
  19. 11
  20. 7
  21. 14
  22. 4
  23. 15
  24. 8
  25. 24
  26. 20
  27. 2
  28. 48
  29. 105
  30. 14
  31. 72
  32. 80
  33. 24
  34. 40
  35. 8
  36. 16
  37. 30
  38. 45
  39. 378
  40. 210

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