Question

Determinati cel mai natural care impartit la 6,7 si 8 da restul 4,5 respectiv6

Answer 1

n=6k+4
n=7l+6
n=8m+7

n+1=6k+4+1=6k+6=6(k+1)
n+1=7l+6+1=7l+7=7(l+1)
n+1=8m+7+1=8m+8=8(l+1)

6|n+1
7|n+1
8|n+1

(n+1)minim =c.m.m.m.c ( 6,7,8)=2³*3*7=168
n minim=168-1=167. cerinta