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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 908 · 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 3, 13 and 4.
  2. 2.Find the HCF of 63 and 81.
  3. 3.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  5. 5.Find the LCM of 2, 6 and 11.
  6. 6.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  7. 7.Find the HCF of 20 and 25.
  8. 8.Find the LCM of 8, 7 and 3.
  9. 9.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  10. 10.Find the LCM of 6 and 21.
  11. 11.Find the LCM of 2, 7 and 10.
  12. 12.Find the LCM of 30 and 48.
  13. 13.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  14. 14.Find the LCM of 24 and 18.
  15. 15.Find the LCM of 5 and 4.
  16. 16.Find the LCM of 2 and 9.
  17. 17.Find the HCF of 45 and 75.
  18. 18.Find the HCF of 30 and 25.
  19. 19.Find the LCM of 12 and 28.
  20. 20.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  21. 21.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  22. 22.Find the HCF of 30 and 70.
  23. 23.Find the LCM of 42 and 54.
  24. 24.Find the LCM of 9, 5 and 15.
  25. 25.Find the HCF of 91 and 117.
  26. 26.Find the HCF of 104 and 39.
  27. 27.Find the LCM of 14 and 16.
  28. 28.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  29. 29.Find the LCM of 36 and 16.
  30. 30.Find the LCM of 10 and 35.
  31. 31.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 4, 5 and 15.
  34. 34.Find the LCM of 9, 12 and 2.
  35. 35.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  36. 36.Find the HCF of 72 and 64.
  37. 37.Find the LCM of 10, 7 and 2.
  38. 38.Find the HCF of 40 and 56.
  39. 39.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  40. 40.Find the HCF of 50 and 40.

Answer key

  1. 156
  2. 9
  3. 20
  4. 14
  5. 66
  6. 16
  7. 5
  8. 168
  9. 9
  10. 42
  11. 70
  12. 240
  13. 45
  14. 72
  15. 20
  16. 18
  17. 15
  18. 5
  19. 84
  20. 30
  21. 42
  22. 10
  23. 378
  24. 45
  25. 13
  26. 13
  27. 112
  28. 18
  29. 144
  30. 70
  31. 40
  32. 49
  33. 60
  34. 36
  35. 21
  36. 8
  37. 70
  38. 8
  39. 81
  40. 10

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