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Home Aptitude HCF and LCM Comments

  • Question
  • LCM of 80, 85, 90


  • Options
  • A. 11440
  • B. 11998
  • C. 12240
  • D. 12880

  • Correct Answer
  • 12240 

    Explanation

    LCM of (80, 85, 90) can be found by prime factorizing them.

     

    80 ? 2 × 2 × 2 × 2 × 5

    85 ? 17 × 5

    90 ? 2 × 3 × 3 × 5

    L.C.M of (80,85,90) = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17

    = 16 x 9 x 85

    = 144 x 85

    = 12240

     

    L.C.M of (80,85,90) = 12240.


  • Search Results


    • 1. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is ?

    • Options
    • A. 63
    • B. 31
    • C. 16
    • D. 27
    • Discuss
    • 2. If HCF of two numbers is 8,which of the following can never be their LCM?

    • Options
    • A. 32
    • B. 48
    • C. 60
    • D. 152
    • Discuss
    • 3. H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is

    • Options
    • A. 180
    • B. 360
    • C. 540
    • D. 1260
    • Discuss
    • 4. Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500 .The smallest numbers is

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 10
    • Discuss
    • 5. The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is

    • Options
    • A. 77
    • B. 88
    • C. 99
    • D. 110
    • Discuss
    • 6. A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required ?

    • Options
    • A. 47
    • B. 46
    • C. 37
    • D. 35
    • Discuss
    • 7. The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

    • Options
    • A. 91
    • B. 910
    • C. 1001
    • D. 1911
    • Discuss
    • 8. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2 4 x 3 5 x 5 2 x 7 2 . What is the third number?

    • Options
    • A. 47628
    • B. 49874
    • C. 24157
    • D. 42146
    • Discuss
    • 9. LCD of 12 and 18

    • Options
    • A. 36
    • B. 42
    • C. 12
    • D. 6
    • Discuss
    • 10. 54, 60 LCM is

    • Options
    • A. 600
    • B. 540
    • C. 60
    • D. 54
    • Discuss


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