[tex]n = numarul~cautat = cmmmc(12; ~30;~ 48) +11 \\
Descompunem~in ~factori~primi: \\
12=2^2 \times 3 \\
30 = 2 \times 3 \times 5 \\
48=2^4 \times 3 \\
n = cmmmc(12; ~30;~ 48) +11 = 2^4 \times 3 \times 5 +11=240+11=\boxed{251} \\ \\
Verificare: \\
251 : 12 =20~rest~11 \\
251 : 30 =8~rest~11 \\
251 : 48=5~rest~11 \\ [/tex]