Find three natural numbers $a,b,c$ such : $\begin{cases}ab=1(\mod c)\\ac=1(\mod b)\\bc=1(\mod a)\end{cases}$

Question

Question :

Find three natural numbers $a$, $b$ and $c$ such that the remainder of the euclidean division of the two numbers (of these numbers) by the third number is $1$

Mean :

$$\begin{cases}ab\equiv 1\pmod{c}\\ac\equiv 1\pmod{b}\\bc\equiv 1\pmod{a}\end{cases}$$

I was try many numbers but no one equivalent with above conditions

So how we can find this three numbers ??