$$14a^{2}b.56ab^{3}c.28a^{3}b^{2}=$$
$\frac{1372c\left(ab\right)^{6}}{625}$
$$14a^{3}b\times 0.56b^{3}c\times 0.28a^{3}b^{2}$$
$$14a^{6}b\times 0.56b^{3}c\times 0.28b^{2}$$
$$14a^{6}b^{4}\times 0.56c\times 0.28b^{2}$$
$$14a^{6}b^{6}\times 0.56c\times 0.28$$
$$7.84a^{6}b^{6}c\times 0.28$$
$$2.1952a^{6}b^{6}c$$
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$\frac{1372\left(ab\right)^{6}}{625}$