Numarul cautat (n) este cmmmc al numerelor 8, 10 si 15 la care adaugam 5.
Descompunem numerele in factori primi:
[tex]8 = 2^3 \\ \\
10 = 2 \times 5\\\\
15 = 3 \times 5\\\\
n = 2^3 \times 3 \times 5 + 5 = 120 + 5 = \boxed{125}\\\\
\text{Verificare: }\\\\
125 : 8 = 15 ~~~rest~5\\\\
125 : 10 = 12 ~~~rest~5\\\\
125 : 15 = 8 ~~~rest~5\\\\[/tex]