MathematicsWhat is the least number which is divisible by all the numbers from 1 to 5 (both inclusive)?

What is the least number which is divisible by all the numbers from 1 to 5 (both inclusive)?


  1. A
    30
  2. B
    60
  3. C
    80
  4. D
    120 

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    Solution:

    It is required to find the least number which is divisible by all the numbers from 1 to 5(both inclusive).
    LCM of two numbers a   and b   is the smallest number which is a multiple of a   and b   both.
    Write numbers from 1 to 5 as a product of prime numbers.
    1×1=1 2=1×2 3=1×3 4=2×2 5=1×5  
    Find the LCM of numbers from 1 to 5.
    ⇒2×2×3×5=60  
    Therefore, 60 is the smallest number that can be divided by any of the numbers from 1 to 5.
     
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