$$5l^{3}m^{2}n.10l^{3}m^{3}n.14lm^{3}n=$$
$\frac{7n^{3}l^{7}m^{8}}{100}$
$$5l^{6}m^{2}n\times 0.1m^{3}n\times 0.14lm^{3}n$$
$$5l^{7}m^{2}n\times 0.1m^{3}n\times 0.14m^{3}n$$
$$5l^{7}m^{5}n\times 0.1n\times 0.14m^{3}n$$
$$5l^{7}m^{8}n\times 0.1n\times 0.14n$$
$$5l^{7}m^{8}n^{2}\times 0.1\times 0.14n$$
$$5l^{7}m^{8}n^{3}\times 0.1\times 0.14$$
$$0.5l^{7}m^{8}n^{3}\times 0.14$$
$$0.07l^{7}m^{8}n^{3}$$
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$\frac{49n^{3}l^{6}m^{8}}{100}$
