Question

What is the smallest number which divide by 35,65and 104 leaves remainder 5 in each case?

Answer 1

Solution:-
LCM of 35,65 and 104:-
$= > 2 \times 2 \times 2 \times 5 \times 7 \times 13 \\ = > 3640$
Now,
The smallest number which must be divided by 35,65 and 104 leaves remainder 5 is :-
$= > 3640 + 5 \\ = > 3645$