Convert Dram (apothecary/troy) to Milligram
Convert drams (apothecary/troy) to milligrams instantly. 1 dram (apothecary/troy) = 3887.9346 milligram — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Milligram to Dram (apothecary/troy) converter for the reverse conversion.
Units explained
Dram (apothecary/troy)
The apothecary (troy) dram equals one-eighth of a troy ounce, about 3.888 grams.
From the apothecaries' system rooted in the Greek 'drachma'.
Historical pharmacy and medicine compounding.
Part of the apothecaries' system of weights used through the 19th century.
Milligram
A milligram (mg) equals one-millionth of a kilogram, or 0.001 gram.
From the SI prefix 'milli-' (from Latin 'mille', thousand).
Standard for medicine dosing, nutrition labels, and fine jewelry.
Part of the original metric system of 1795.
Dram (apothecary/troy) to Milligram conversion formula
The relationship between drams (apothecary/troy) and milligrams:
To convert drams (apothecary/troy) to milligrams, multiply the value in drams (apothecary/troy) by 3887.9346. To reverse, multiply milligrams by 0.000257206.
How to use this converter
Type a value into the calculator. The result in milligrams updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Milligram to Dram (apothecary/troy) converter for the reverse direction.
Step-by-step: convert drams (apothecary/troy) to milligrams
- Write down the value in drams (apothecary/troy) (dr ap).
- Multiply that value by the factor 3887.9346.
- The product is the equivalent value in milligrams (mg).
- To reverse, multiply the milligram value by 0.000257206.
Worked examples
Example 1 — Convert 1 dr ap to mg:
1 × 3887.9346 = 3887.9346 mg
Example 2 — Convert 100 dr ap to mg:
100 × 3887.9346 = 388793.4600000001 mg
Real-world example — Adjacent metric sub-units
One dram (apothecary/troy) equals 1,000 milligrams. Engineers move between these scales constantly: PCB feature sizes in the larger unit, wire-bond diameters in the smaller.
1 dr ap × 3887.9346 = 3887.9346 mg
Real-world example — Adjacent small-scale precision
One dram (apothecary/troy) equals 1,000 milligrams — the standard sub-millimeter precision conversion that materials engineers use whenever they switch between bulk material thickness specs (larger unit) and surface-finish characteristics (smaller unit).
1 dr ap × 3887.9346 = 3887.9346 mg
Dram (apothecary/troy) to Milligram conversion table
Standard reference values for converting drams (apothecary/troy) to milligrams:
| Dram (apothecary/troy) [dr ap] | Milligram [mg] |
|---|---|
| 0.01 | 38.879346 |
| 0.1 | 388.79346 |
| 1 | 3887.9346 |
| 2 | 7775.8692 |
| 3 | 11663.8038 |
| 4 | 15551.7384 |
| 5 | 19439.673 |
| 10 | 38879.346 |
| 20 | 77758.692 |
| 30 | 116638.038 |
| 40 | 155517.384 |
| 50 | 194396.73 |
| 100 | 388793.4600000001 |
| 500 | 1943967.3000000003 |
| 1000 | 3887934.6000000006 |
Frequently asked questions
How many milligrams is 1 dram (apothecary/troy)?
How do I convert drams (apothecary/troy) to milligrams?
How do I convert milligrams back to drams (apothecary/troy)?
How many milligrams is 100 drams (apothecary/troy)?
Popular weight unit conversions
Convert Dram (apothecary/troy) to other weight units
Show all Dram (apothecary/troy) conversions
Metric / SI (18 units)
Avoirdupois (15 units)
Troy & Apothecary (9 units)
Indian / South Asian (6 units)
Scientific / Atomic (9 units)
Astronomical (4 units)
Biblical / Ancient (14 units)
Sources & references
Conversion factor (1 dr ap = 3887.9346 mg) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Hydrographic Organization — Resolution on the Nautical Mile
International authority that standardised the nautical mile at exactly 1852 m in 1929 — the value adopted worldwide for sea and air navigation.