Prime Factors | Common Divisors | Common Multiples | Divisors | Radical
Find Common Multiples of Numbers
In a span of numbers, those that are common multiples of defined integers will be calculated. Please enter a span and up to five numbers for which the multiples should be found. All numbers within that span that are multiples of all entered values will be calculated. As multiples, positive and negative integer numbers are counted. If the span or the numbers within the span are very high, the calculation might take a while.
Common multiples in this span:
Example shows the common multiples from 1 to 200 of the numbers 2, 3, 4, 5, and 6. These are 60, 120, and 180.
The least common multiple, LCM, of these values is 60, which is 2 times 5 times 6.
A multiple of a number is that number multiplied by an integer other than 0. For example, for the natural numbers, the given number times 1, times 2, times 3, times 4, and so on. A number has infinitely many multiples. Another number has other multiples, also infinitely many. The multiples that are the same for two or more numbers are called common multiples, these also are infinitely many. The most important of these values is the smallest positive value; this is called the least common multiple, the LCM. This is needed in some mathematical applications. The other multiples are the LCM times 2, times 3, and so on, or also times -1, times -2, etc.
All of this is specified here within a range of values, the multiples span. Starting this span at 1 is a reasonable lower limit. However, it can also be extended to negative values. The upper limit can be raised as much as desired, but then the list of common factors can become very long and may take a while to calculate. Of course, it can also be lowered, also even to negative values.
Last updated on 04/08/2026. Author: Jürgen Kummer
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