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The online LCM calculator can find the least common multiple (factors) quickly than manual methods. Whether finding the LCM of two numbers or multiple numbers, this calculator can help you with just a single click.
The LCM calculator is free to use while you can find the LCM using multiple methods. This tool would also show you the method to solve LCM.
What is the Least common factor (LCM)?
The least common multiple or lowest common multiples is the least number which is divisible by the numbers for which you are finding the LCM.
For example:
The L.C.M of 3, 5 and 6 is 30.
This means that the 30 is the common number that can be divided on any of the numbers between 3,5 and 6 to get the answer in integers.
Methods of finding the LCM
There are multiple methods of finding the Lowest common multiple between multiple numbers. Some of the ways are discussed below:
As discussed above, there are several methods to find the LCM. Let’s go through the important ones to understand the basic idea.
1. Prime Factorization
Prime factorization is a simple method to find the LCM. Let’s see how to find LCM using prime factorization step by step.
Example:
Find LCM of 400, 500, and 550 with prime factorization?
Solution:
Step 1: List the factors of the given numbers.
400: 5 × 5 × 2 × 2 × 2 × 2 = 52 × 24
500: 5 × 5 × 5 × 2 × 2 = 53 × 2 2
550: 5 × 5 × 2 × 11 = 52 × 2 × 11
Step 2: Multiply the prime factors to get the LCM. If there are common factors, use them only once.
53 × 24 × 11 = 22000
So, the least common multiple of 400, 500, and 550 is 22000.
2. Division Method
The division method is another method to get the LCM of multiple numbers. Follow the below steps to obtain the least common multiple using the division method.
Example:
Find the least common multiple of 40 and 50 with the division method?
Step 1: Place all numbers on a horizontal line as shown in the image below.
Step 2: Start dividing the numbers with the least prime number. Write the quotient of division exactly below the dividend. Keep dividing until all numbers are fully divided and the remainder is 1.
Step 3: Multiply all of the divisors to get the LCM.
2 × 2 × 2 × 5 × 5 = 200
So, the LCM of 40 and 50 is 200 using the division method.
3. Listing Multiples
The simplest way to find the LCM of any numbers is to find through the listing multiples. In this method, you have to list down all the multiple of the numbers and then find the common multiple between these numbers which would be the LCM.
The LCM calculator is free to use while you can find the LCM using multiple methods. This tool would also show you the method to solve LCM.
What is the Least common factor (LCM)?
The least common multiple or lowest common multiples is the least number which is divisible by the numbers for which you are finding the LCM.
For example:
The L.C.M of 3, 5 and 6 is 30.
This means that the 30 is the common number that can be divided on any of the numbers between 3,5 and 6 to get the answer in integers.
Methods of finding the LCM
There are multiple methods of finding the Lowest common multiple between multiple numbers. Some of the ways are discussed below:
- Listing Multiples
- Prime Factorization
- Prime Factorization using exponents
- Cake Method (also known as ladder method)
- Division Method
As discussed above, there are several methods to find the LCM. Let’s go through the important ones to understand the basic idea.
1. Prime Factorization
Prime factorization is a simple method to find the LCM. Let’s see how to find LCM using prime factorization step by step.
Example:
Find LCM of 400, 500, and 550 with prime factorization?
Solution:
Step 1: List the factors of the given numbers.
400: 5 × 5 × 2 × 2 × 2 × 2 = 52 × 24
500: 5 × 5 × 5 × 2 × 2 = 53 × 2 2
550: 5 × 5 × 2 × 11 = 52 × 2 × 11
Step 2: Multiply the prime factors to get the LCM. If there are common factors, use them only once.
53 × 24 × 11 = 22000
So, the least common multiple of 400, 500, and 550 is 22000.
2. Division Method
The division method is another method to get the LCM of multiple numbers. Follow the below steps to obtain the least common multiple using the division method.
Example:
Find the least common multiple of 40 and 50 with the division method?
Step 1: Place all numbers on a horizontal line as shown in the image below.
Step 2: Start dividing the numbers with the least prime number. Write the quotient of division exactly below the dividend. Keep dividing until all numbers are fully divided and the remainder is 1.
Step 3: Multiply all of the divisors to get the LCM.
2 × 2 × 2 × 5 × 5 = 200
So, the LCM of 40 and 50 is 200 using the division method.
3. Listing Multiples
The simplest way to find the LCM of any numbers is to find through the listing multiples. In this method, you have to list down all the multiple of the numbers and then find the common multiple between these numbers which would be the LCM.
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