LCM of Two or More Numbers Calculator

There are numerous methods to find the Least Common Multiple of two or more numbers. Depending on how large the numbers are and the difficulty, we choose the method that is most appropriate. You will find a detailed procedure on how to find the Least Common Multiple of two or more numbers. All of them are explained in detail taking examples so that you will be familiar with the concepts in a much better way.

• Common Division Method
• GCF Formula Method

Finding LCM of two or more numbers using Common Division Method

Go through the below steps listed in order to find the Least Common Multiple of two or more numbers using the Common Division. They are as such

• Place the given inputs in a horizontal line separated by commas.
• Divide the input numbers with a precise number that divides at least two of the given integers.
• Note down the quotients below in the next row. If any of the numbers isn't divisible bring it down to the next row
• Divide the numbers obtained with prime numbers and continue the process till all coprime integers are left in a row.
• Multiply the prime numbers with which you have divided and all the co primes left in the last row to get the Least Common Multiple.

Example:

Find LCM of numbers 25, 35, 45 using the Common Division Method?

Solution:

Given Input Numbers are 25, 35, 45

Initially place all of the inputs 25, 35, 45 in a horizontal line separated by commas and divide with a prime number.

Note down the quotients in a row and continue the process till you have all co primes left in a row.

5	25, 35, 45
	5, 7, 9

As all the numbers in a row are co primes you can't repeat the division further.

Thus, multiply the Prime Number you divided the inputs with Co Primes in the last row to get the Least Common Multiple. i.e. 5x5x7x9 = 1575

Therefore, LCM(25, 35, 45) is 1575

Finding LCM of two or more numbers using GCF Formula

In order to find the Least Common Multiple of two or more numbers using the GCF formula have a look below

Formula to find LCM using GCF = LCM(a, b) = ( a x b )/GCF(a, b)

Applying the above method for first two numbers

Then after taking the LCM as 1st number and the next number as 2nd one and put in the above formula.

Find the Greatest Common Factor of given numbers and then apply the obtained GCF in the formula. Thus, on simplifying you will get the Least Common Multiple of two or more numbers.

Example

Find LCM of 25, 35, 45 using GCF formula?

Solution:

Given Inputs are 25, 35, 45

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(25, 35) = 5

LCM(25, 35) = ( 25 x 35 ) / 5

LCM(25, 35) = 875 / 5

LCM(25, 35) = 175

Step2:

Here we consider the LCM from the above i.e. 175 as first number and the next as 45

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(175, 45) = 5

LCM(175, 45) = ( 175 x 45 ) / 5

LCM(175, 45) = 7875 / 5

LCM(175, 45) = 1575

LCM of 25,35,45 is 1575

1. What is the LCM of two or more numbers?

The least common multiple (LCM) of two or more numbers is the smallest number that can divide all the numbers equally.

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2. What are the methods to find LCM of two or more numbers?

LCM of two or more numbers can be found using the Common Division, GCF Formula, Listing Multiples, Cake/ Ladder Method, Prime Factorization Methods. Choose the one that is most appropriate for you and find the Least Common Multiple easily.

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3. How to find LCM of two or more numbers on a Calculator?

You can find the LCM of two or more numbers on a calculator by simply providing the input numbers separated by commas and clicking on the Calculate Button.

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4. Where do I get detailed procedure solving LCM of two or more numbers?

You can get detailed procedure solving LCM of two or more numbers on our page.

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