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 )
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 )