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LCM Calculator

LCM Calculator - Least Common Multiple

The Least Common Multiple, or LCM, is the smallest positive number that can be divided evenly by two or more numbers. Its also called the Lowest Common Multiple.

For Example: Find the LCM of 12 and 16.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 ...
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160...
So the common multiples of 12 and 16 are 48, 96, ..., but the smallest of these is 48. So, LCM(12, 16) = 48.

Take another example with division method

1. Write the numbers side by side.
2. Divide them by a prime number that divides at least one of the numbers.
3. Write the quotients below.
4. Repeat until no two numbers have a common divisor greater than 1.
5. Multiply all the divisors and the final quotients to get the LCM.

Example 3

Find the LCM of number 20, 30, and 50.

| 2 | 20, 30, 50 |
| 2 | 10, 15, 25 |
| 3 | 5, 15, 25 |
| 5 | 5, 5, 25 |
| 5 | 1, 1, 5 |

Now, multiply the divisors: $2 \times 2 \times 3 \times 5 \times 5 = 300$.
So, LCM(20, 30, 50) = 300.

How it works

1. Enter 2, 3, or 4 numbers in the input fields.
2. Click the "Calculate LCM" button.
3. The LCM and the calculation process will be displayed on the right side.

Example Calculation

Input: Number 1 = 12 , Number 2 = 15, Number 3 = 20

Calculation: LCM(12, 15) = 60, LCM(60, 20) = 60

Output: LCM: 60 Formula: LCM(12, 15, 20) = LCM(12, 15) = 60, LCM(60, 20) = 60

In the image below, we can see how to calculate the LCM with the division method.