# lcm finder

world's simplest number tool

Quickly find the least common multiple (LCM) of numbers in your browser. To get LCM, just enter your numbers in the input field, adjust their separator character in the options below, and this utility will calculate the least common multiple of your numbers. Created by developers from team Browserling.

Tool Options

#### Number Delimiter

Enter the character that
separates the numbers in
the input.
(By default a line break.)

#### LCM Options

Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

## What is a lcm finder?

This is an online browser-based utility for finding the least common multiple of numbers. The least common multiple (LCM) of two integers a and b is the smallest positive integer that is divisible by both a and b at the same time. The least common multiple of more than two numbers is the smallest positive integer that divides all of these numbers. LCM is also often called the lowest common multiple or smallest common multiple (SCM). One of the main applications of LCM is reducing fractions to a common denominator. The LCM can be found using several different methods. The first way is by utilizing prime factorization. If the numbers are decomposed into prime factors, then the LCM is the product of factors that are included in at least one of the numbers. The second method uses the relationship between the GCD and the LCM and is calculated as following LCM(a, b) = |axb|/GCD(a, b). In this tool, we use the second method to find the LCM. If you supply more than two numbers we use the extended LCM formula and apply it to all the numbers. You can also use the "Flowing LCM" option to see how the LCM changes as it's calculated for more and more numbers. That's numberwang!

## Lcm finder examples

Click to try!

### LCM of 12 and 40

In this example, we calculate the LCM of two numbers. Let's try to find it using the prime factorization method. First, decompose the numbers into prime divisors. For 12 it is 2, 2, 3, for 40 it is 2, 2, 2, 5. Then, multiply factors, that are included in at least one of two numbers: 2 * 2 * 2 * 3 * 5 = 120. So, the number 120 is the LCM of 12 and 40. Using the second method we get the same result: LCM(12, 40) = |12x40|/GCD(12, 40) = 480/4 = 120.

12 40
120
Required options
These options will be used automatically if you select this example.
Enter the character that
separates the numbers in
the input.
(By default a line break.)
Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

### LCM of Prime Numbers

In this example, we find the LCM of five prime numbers at once. Each prime number has only two divisors – 1 and the number itself. From this fact, it follows that the least common multiple of the given numbers is equal to their product. That is, LCM(2, 3, 5, 7, 11) = 2 * 3 * 5 * 7 * 11 = 2310.

2 3 5 7 11
2310
Required options
These options will be used automatically if you select this example.
Enter the character that
separates the numbers in
the input.
(By default a line break.)
Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

### Running LCM

In this example, we activate the "Flowing LCM" option and get a list of running LCMs during the calculation. That is, we get a list of the following values: LCM(60, 40) = 120, LCM(120, 30) = 120, LCM(120, 1000) = 3000, LCM(3000, 1050) = 21000.

60 40 30 1000 1050
60 120 120 3000 21000
Required options
These options will be used automatically if you select this example.
Enter the character that
separates the numbers in
the input.
(By default a line break.)
Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

### Pro tipsMaster online number tools

You can pass input to this tool via ?input query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!

https://onlinetools.com/number/find-least-common-multiple?input=12%0A40&separator=%255Cn&running-lcm=false

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