\[- 14a^{7}b^{3}c^{11} \cdot 2\frac{3}{7}bc^{4} =\]
\[= - 14 \cdot \frac{17}{7}a^{7}b^{4}c^{15} =\]
\[= - 34a^{7}b^{4}c^{15}\]