+0  
 
0
95
1
avatar

Find the smallest positive N such that

\(\begin{align*} N &\equiv 3 \pmod{4}, \\ N &\equiv 2 \pmod{5}, \\ N &\equiv 6 \pmod{7}. \end{align*}\)

 Apr 27, 2019
 #1
avatar
+1

N = 27 mod[LCM(4, 5, 7)]

N = 27 mod 140

N =140n +27, where n=0, 1, 2, 3.......etc.

So, the smallest N = 27.

 Apr 28, 2019

8 Online Users

avatar