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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
or multiples thereof
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "or multiples thereof" is correct and usable in written English.
It is typically used in contexts involving measurements, quantities, or values to indicate that the specified number can be used along with its multiples. Example: "The minimum order quantity is 10 units or multiples thereof."
✓ Grammatically correct
Science
News & Media
Encyclopedias
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
11 human-written examples
Their rentals for rehearsal and performance space are short-term, by the hour or day or multiples thereof.
News & Media
Here phrase lengths rarely strayed from four bars or multiples thereof; melodic lines were driven from underneath by potent harmonic transformations.
News & Media
Dicots typically also have flower parts (sepals, petals, stamens, and pistils) based on a plan of four or five, or multiples thereof, although there are exceptions.
Encyclopedias
The business model is essentially coffee as a service: For a monthly fee you are regularly delivered packages of 8 (or multiples thereof) Sudden Coffee servings — right now, a rotating bean, but in the future perhaps a type you've requested, or perhaps something new that's recommended based on your taste.
News & Media
The steps used were 10% or multiples thereof and 5% at a lower frequency.
The usual OTA exposure estimates (P*P) were compared with risk metrics such as the NCRI or multiples thereof (8, 12, or 16 ng OTA kg bw−1 per day).
Human-verified similar examples from authoritative sources
Similar Expressions
48 human-written examples
Despite several bankruptcies, he continued to pursue myriad schemes that epitomized A. J. Liebling's "man who mulcts another man of a dollar, or any fraction or multiple thereof".
News & Media
In the case of a standard ring, spin precession will normally reduce the effective longitudinal polarisation from 27%to18%8%, unless the beam energy is chosen to be exactly (i.e. within 2×10−4) E=45.311 GeV, or multiple thereof.
The New Doctrine of War: Naval Battles Recur Every 317 Years or in Multiples Thereof, for Velimir Chlebnikov".
News & Media
Estimates of the number of Indigenous Australians killed by British troops, settlers, vigilante groups and "black police" vary from a conservative 20,000 to many multiples thereof.
News & Media
In Aztec arithmetic, a dot equals 1, a bar represents 5, and there are other symbols for 20 and various multiples thereof.
Science & Research
Expert writing Tips
Best practice
When specifying a minimum order quantity, follow it with "or multiples thereof" to clearly indicate that customers can order the base quantity or any integer multiple of it.
Common error
Avoid using "or multiples thereof" when you intend to allow fractional quantities. This phrase specifically implies integer multiplication, not general scaling.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "or multiples thereof" functions as a qualifier, specifying that in addition to the stated quantity, any integer multiple of that quantity is also acceptable. Ludwig AI indicates that this usage is grammatically correct. For instance, "rentals for rehearsal and performance space are short-term, by the hour or day or multiples thereof."
Frequent in
Science
60%
News & Media
30%
Encyclopedias
10%
Less common in
Formal & Business
0%
Reference
0%
Social Media
0%
Ludwig's WRAP-UP
In summary, the phrase "or multiples thereof" is a grammatically correct and usable English expression, as confirmed by Ludwig AI. It's used to specify that, in addition to a base quantity, any integer multiple of that quantity is also acceptable. While not exceedingly frequent, its presence across science, news media, and encyclopedia sources indicates its utility in both neutral and formal contexts. Related phrases like "or integral multiples" and "or any multiple of that" offer alternative ways to express the same idea, while best practices involve using the phrase to clarify acceptable order quantities or values. Common errors include using it when fractional amounts are intended. This phrase provides flexibility in indicating scalable quantities.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
or integral multiples
Replaces 'thereof' with a more formal term 'integral', implying whole number multiples.
or any multiple of that
Specifies 'that' to refer to a previously mentioned quantity, adding explicitness.
or multiples of this value
Uses 'this value' for a specific reference, enhancing clarity in certain contexts.
or in increments of
Focuses on the incremental aspect of adding multiples, suitable for step-wise increases.
or in units of
Highlights the standard unit by which something is being increased.
or factors thereof
Shifts focus to divisors instead of multiples, implying division rather than multiplication.
or proportional increases
Implies increases are proportionate to the initial value, not necessarily whole number multiples.
or scaled versions
Suggests adjustments in size or quantity relative to an original measure.
or any quantities based on
Generalizes the concept to include any quantity derived from a base number, including fractions.
or subsequent iterations
Emphasizes repetition and sequential scaling from an initial point.
FAQs
How do I use "or multiples thereof" in a sentence?
Use "or multiples thereof" after specifying a base quantity to indicate that amounts equal to or greater than the initial value, incremented by that value, are acceptable. For example: "The software is sold in licenses of 5 or "multiples thereof"."
What does "or multiples thereof" mean?
It means that in addition to the stated number, any number that is a product of multiplying that number by a whole number is also acceptable. If something is offered in units of 8 or "multiples thereof", it's available in quantities of 8, 16, 24, etc.
Which is correct, "or multiples thereof" or "and multiples thereof"?
"Or multiples thereof" is correct. The "or" indicates an alternative to the preceding quantity, implying that the initial amount or any multiples are valid. "And multiples thereof" would suggest that both the initial amount and its multiples are required, which is usually not the intended meaning.
What's the difference between "or multiples thereof" and "or any multiple of that number"?
They have essentially the same meaning. "Or any multiple of that number" is more explicit, while "or multiples thereof" is a more concise and commonly used idiom. You could use "any multiple of that number" for increased clarity, but "or multiples thereof" is perfectly acceptable.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested