👤

aflati cel mai mic numar natural care impartit pe rand la 6, 8 si 12 da restul 5

Răspuns :

a : 6 = x rest 5 ==> a = 6x+5
a : 8 = y rest 5 ==> a = 8y + 5
a : 12 = z rest 5 ==> a = 12z + 5

6 = 2 × 3
8 = 2^3
12 = 2^2 × 3
--------------------
c.m.m.m.c = 2^3 × 3= 24

a = 24 + 5 = 29 (numarul cautat)

Verificare:
29 : 6 = 4 rest 5
29 :8 = 3 rest 5
29 : 12 = 2 rest 5