Q. Find the least positive integer which on adding 1 is exactly divisible by 126 and 600. (please do it fast... Tomorrow is my exam..)

Answer :

To find least positive integer which on adding 1 , exactly divisible by 126 And 600  ,

So, Our Least positive integer  =  LCM ( 126 ,600 )  -  1 ,

Now we find LCM of 126 and 600 , As  :



So,

LCM ( 126 , 600 ) =  2 × 2 × 2 × 3 × 3 × 5 × 5 × 7  =  12600

SO,
Our Least positive integer  = 12600  -  1  =  12599
So,
Our Least positive integer  is 12599  which on adding 1 , exactly divisible by 126 And 600  .  (  Ans )

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