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Home Aptitude HCF and LCM Comments

  • Question
  • A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?


  • Options
  • A. 487
  • B. 585
  • C. 635
  • D. 705

  • Correct Answer
  • 585 

    Explanation

    The smallest possible number of books = L.C.M of 5, 9 and 13.
    Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.


  • Search Results


    • 1. The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are

    • Options
    • A. (12, 60)
    • B. (72, 30)
    • C. (36, 60)
    • D. (60, 72)
    • Discuss
    • 2. LCM of two co-prime numbers a and b is (a is greater than b):

    • Options
    • A. a
    • B. a+b
    • C. ab
    • D. b
    • Discuss
    • 3. The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;

    • Options
    • A. 102
    • B. 64
    • C. 204
    • D. 92
    • Discuss
    • 4. A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

    • Options
    • A. 183
    • B. 153
    • C. 63
    • D. 123
    • Discuss
    • 5. The LCM of 72 and 84 is:

    • Options
    • A. 12 × 6 × 7
    • B. 6 × 2 × 7
    • C. 12 × 7 × 3
    • D. 72 × 84
    • Discuss
    • 6. Find the HCF of 3341 and 3328.

    • Options
    • A. 257
    • B. 337
    • C. 13
    • D. 31
    • Discuss
    • 7. If the product of two numbers is 3026 and their LCM is 89, then their HCF is :

    • Options
    • A. 33
    • B. 34
    • C. 35
    • D. 29
    • Discuss
    • 8. The minimum value of LCM of given numbers is ........... the product of all the given numbers.

    • Options
    • A. always greater than
    • B. always less than
    • C. always equal to
    • D. None
    • Discuss
    • 9. The HCF of two numbers is 11 and their LCM is 330. If one of the number is 55. Find the other number.

    • Options
    • A. 33
    • B. 66
    • C. 44
    • D. 77
    • Discuss
    • 10. If the product of two numbers is 4941 and their LCM is 81, then their HCF is :

    • Options
    • A. 60
    • B. 59
    • C. 35
    • D. 61
    • Discuss


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