lb to mg Converter - Pound to Milligram

Conversion derivation

Express both lb and mg in the same base unit kg (kilogram), then cancel the shared base unit.

1. 1

   Rewrite lb in the base unit

   $$1\mathrm{lb}=0.45359237\mathrm{kg}$$
2. 2

   Rewrite mg in the base unit

   $$1\mathrm{mg}=0.000001\mathrm{kg}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{lb}& =\frac{0.45359237\cancel{\mathrm{kg}}}{0.000001\cancel{\mathrm{kg}}}\times 1\mathrm{mg}\\ & =\frac{0.45359237}{0.000001}\mathrm{mg}\\ & =453,592.37\mathrm{mg}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mg}& =\frac{0.000001\cancel{\mathrm{kg}}}{0.45359237\cancel{\mathrm{kg}}}\times 1\mathrm{lb}\\ & =\frac{0.000001}{0.45359237}\mathrm{lb}\\ & =0.000002204623\mathrm{lb}\end{array}$$