Question

find the least possible 5 digit number which when divided by 12,16,18 leaves remainder 27​

Answer 1

Answer:

EXPLANATION

The LCM of 10 ,12,16 and 18 is 720 and it means if the number is divisible by 720,it is divisible by 10,12,16 and 18 too.The least 5- digit number is 10000which is not divisible by 720 as it leaves a remainder 640 .If we subtract this remainder from 10000 it will be divisible by 720 but it will be a 4- digit number. So we have to subtract 640 from 720 and add the difference to 10000 ,that is 80 to be addedto 10000 to get 10080 which is divisible by 720 But we should have a remainder of 'R'.So by adding this 'R' to 10080 we get 10080+R which is the answer.

In short the LCM is 720

10000/720 =Q is 13,R is 640

720–640 =80

10000+80+R=10080+R (Ans)