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Multiples Calculator | Find The N-th Multiple Of A Number

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Generate the first n multiples of any number instantly, with the multiplication shown for each. Perfect for finding common multiples, fraction work, scheduling repeating events and pattern practice.

Last updated: June 2026 · Free · No sign-up required

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Results

Enter values above and click Calculate to see your result instantly.

About the Multiples Calculator

The engine behind this calculator evaluates n-th multiple of x = n × x (n = 1, 2, 3, …) directly in your browser — nothing is sent to a server, and results update as you type.

Scroll past the calculator for a quick-reference table, a step-by-step methodology with a fully worked example, and answers to the questions people most often ask about multiples calculator.

Quick reference

NumberFirst 5 multiples
44, 8, 12, 16, 20
77, 14, 21, 28, 35
1212, 24, 36, 48, 60
2.52.5, 5, 7.5, 10, 12.5

info Multiples Calculator

Free math calculator — enter your numbers and get an instant, accurate result.

info Private by design

Everything runs locally in your browser. No uploads, no accounts, no tracking.

info Works everywhere

Fully responsive and mobile-friendly — calculate on any device, any time.

info Educational

Includes the formula and step-by-step explanation so you understand the math, not just the answer.

Interpretation guide

ConceptQuick test
Is 84 a multiple of 7?84 ÷ 7 = 12 exactly → yes
Common multiple of 4 & 6Appears in both lists (12, 24, …)
LCM of 4 & 6First shared multiple = 12

lightbulb Bus departures every 12 minutes

A shuttle leaves every 12 minutes. The first 8 departures are the first 8 multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96.

Result: The 8th departure is 96 minutes after the first, and the gaps sum to 12 × (1+2+…+8) = 12 × 36 = 432.

What this means: Listing multiples turns a repeating schedule into concrete times — the 5th bus at 60 minutes, the 8th at 96. The same list answers divisibility questions at a glance: 84 appears in the 12-times list (84 ÷ 12 = 7 exactly), so it's a multiple; 90 doesn't appear, so it isn't.

Formula & methodology

Formula: n-th multiple of x = n × x (n = 1, 2, 3, …)

How multiples are generated

The n-th multiple of a number x is simply n × x for n = 1, 2, 3, … — the times table of x written out as a list. The page multiplies the base by each counting number in turn and shows every product, plus the running sum.

  • Start with the base number — integers, decimals, and negatives all work.
  • Choose how many multiples to list.
  • Read each product and the total; shared values across two lists reveal common multiples.

This list view is the most intuitive route to the least common multiple: the multiples of 6 and 8 first coincide at 24. To test a single candidate, divide it by the base — a zero remainder means it's a multiple.

Authoritative source: Wolfram MathWorld

Frequently asked questions

What are the multiples of a number?
The Multiples Calculator is free, private, and accurate: it runs entirely in your browser (no uploads, no accounts), applies the standard calculation, and explains each step so you can verify the result. Calculates multiples using n-th multiple of x = n × x (n = 1, 2, 3, …), in real time in your browser. There is no limit on usage, and it works on any device.
How do I check if one number is a multiple of another?
Enter the required values into the input fields and press the calculate button. The tool applies the formula n-th multiple of x = n × x (n = 1, 2, 3, …) and returns the result with a short explanation of each step, so you can check the working yourself.
What is the difference between multiples and factors?
Multiples of a number are what you get by multiplying it by whole numbers — 12, 18, 24 are multiples of 6. Factors divide the number exactly — 1, 2, 3, 6 are factors of 6. The relationship is reciprocal: every factor of a number divides its multiples, and every number's multiples are divisible by all its factors. Multiples grow without bound; factors are finite.
How does this help find the LCM?
Listing multiples is the most intuitive way to find the least common multiple: list the multiples of each number and find the first value they share. The LCM of 6 and 8 is 24 because 24 appears in both lists first. The calculator generates these lists for you, and the same LCM is also available through the prime-factorization method.
Can I list multiples of decimals or negatives?
Yes — the calculator handles decimal bases by stepping with the decimal value (multiples of 0.5 are 0.5, 1.0, 1.5…), and negative bases produce negative multiples. For most practical uses, whole numbers are what matter, but the tool is flexible enough for measurement and finance problems that work in fractional steps.
How do I check whether one number is a multiple of another?
Divide and look for a remainder: 84 ÷ 12 = 7 exactly, so 84 is a multiple of 12; 90 ÷ 12 = 7.5, so it isn't. The page shows the division for any candidate, which settles the question instantly.
How does listing multiples find the LCM?
Write both lists and take the first value they share — that's the least common multiple by definition. The multiples of 6 (6, 12, 18, 24…) and 8 (8, 16, 24…) first meet at 24. It's the most intuitive LCM method, especially for fraction work.
Does it handle decimal bases like 0.5?
Yes — multiples of 0.5 are 0.5, 1.0, 1.5, 2.0…, stepping by the decimal value. That covers half-unit steps in recipes, measurements, and pricing tiers. Negative bases work too, producing negative multiples.
Are the listed products exact?
For integer bases, yes — each line is one exact multiplication, shown step by step, so 7 × 10 = 70 is verifiable, not trusted. Very long lists use standard floating-point display, but the underlying products follow n × x precisely.

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