What does MCMXL mean?

MCMXL is the Roman numeral for 1,940 — 1000 + 900 + 40.

How do you write 1940 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: M (1000), then CM (900), then XL (40). That gives MCMXL.

1,940 in Roman numerals

MCMXL

Number (1–3,999 for numerals)

Roman numeral

1,940 is written MCMXL in Roman numerals. That is 3 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MCMXL = 1000 + 900 + 40 = 1,940
Group	Value	Subtraction	Running total
M	1,000	—	1,000
CM	900	M − C	1,900
XL	40	L − X	1,940

Why the smaller symbol comes first

MCMXL uses subtractive notation in 2 places: CM means M minus C, or 900; XL means L minus X, or 40. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	no
V	5	no
X	10	yes — 1×
L	50	yes — 1×
C	100	yes — 1×
D	500	no
M	1,000	yes — 2×

The same number, other ways

In words: One thousand nine hundred forty
Roman numeral: MCMXL
Symbol count: 5 characters
Binary: 11110010100
Hexadecimal: 794

The numbers either side

Number	Roman numeral
1,938	MCMXXXVIII
1,939	MCMXXXIX
1,940	MCMXL ←
1,941	MCMXLI
1,942	MCMXLII

Common questions

What is 1940 in Roman numerals?: 1,940 is MCMXL.
What does MCMXL mean?: MCMXL is the Roman numeral for 1,940 — 1000 + 900 + 40.
How do you write 1940 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then CM (900), then XL (40). That gives MCMXL.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked