LCM of 4 Numbers Calculator

LCM Stands for Least Common Multiple and is the smallest number that is divisible by all the numbers. For four integers a, b, c, d LCM is given by LCM(a, b, c, d).

Procedure to find the Least Common Multiple of 4 Numbers

There are various methods to find the Least Common Multiple of numbers and we have jotted all of them on our page. Choose the one as per your requirement and the one that suits your level of understanding. They are in the following fashion

• Listing Multiples
• Prime Factorization
• Cake/Ladder Method
• Division Method
• Using the Greatest Common Factor GCF

How to find LCD of 4 Numbers using Listing Multiples?

• Make a note of all the multiples of given 4 numbers until you get a multiple common in all the lists.
• Find the Smallest Number that is common among the multiples of all 4 numbers.
• That is the Least Common Multiple of 4 Numbers.

Example

Find LCM of 5, 10, 15, 20 using Listing Multiples?

Solution:

Given Numbers are 5, 10, 15, 20

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

Multiples of 10 are 10, 20, 30, 40, 50, 60

Multiples of 15 are 15, 30, 45, 60, 75, 90

Multiples of 20 are 20, 40, 60, 80, 100

The smallest number that is common among all the multiples of 4 numbers is 60

Therefore, 60 is the LCM( 5, 10, 15, 20)

How to find LCM of 4 Numbers using Prime Factorization?

• Find the Prime Factors of all the given 4 numbers.
• Make a note of the prime numbers found, as many times they occur often for a given number.
• Multiply the list of prime factors to find the Least Common Multiple.

Example

Find LCM(12, 18, 24, 30) using Prime Factorization?

Solution:

Given Input Numbers are 12, 18, 24, 30

Prime Factors of 12 = 2*2*3

Prime Factors of 18 = 2*3*3

Prime Factors of 24 = 2*2*2*3

Prime Factors of 30 = 2*3*5

Check for the Prime Factors that occur often for a given number and multiply all of the prime factors to obtain the LCM.

LCM = 2*2*2*3*3*5

= 360

Thus, LCM(12, 18, 24, 30) is 360.

Process to find LCM of 4 Numbers using the Cake/Ladder Method?

• List out the four numbers in a row
• Divide the layer or row numbers by a prime number that is evenly divisible in two or more numbers and bring it to the next layer.
• If you have any number that is not divisible bring that number down.
• Repeat the process and continue dividing cake layers by prime numbers.
• When you have no more prime numbers that divide two or more numbers you are done.

Example

Find LCM of 10, 12, 15, 75 using the Cake/Ladder Method?

Solution:

Given Input Numbers are 10, 12, 15, 75

LCM is the multiplication of numbers in L Shape i.e. left column and bottom row = 2 × 3 × 5 × 2 × 5

LCM = 300

Therefore, LCM(10, 12, 15, 75) = 300

Finding Least Common Multiple of 4 Numbers using the Division Method

• Make a note of all four numbers in the top table row.
• Start dividing with the lowest prime numbers and divide the rows of numbers with prime numbers that is divisible into at least one of the numbers and bring it down to the next row.
• If any number in the given 4 numbers isn't divisible just bring it down.
• Continue the process by dividing evenly into at least one number.
• When you reach the point where the last row is all 1's that's it you are done.

Example

Find LCM(120, 144, 160, 180) using the Division Method?

Solution:

Given Input Numbers are 120, 144, 160, 180

The Division Method ends here as the last row contains all 1's

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 2

= 1440

Thus, LCM(120, 144, 160, 180) is 1440

How to find an LCD of 4 Numbers using the GCF Method?

• List out all the 4 Numbers given.
• Find the LCM of the first two numbers and LCM of the third and fourth numbers.
• After that perform LCM of the results obtained and that's the Least Common Multiple of 4 Numbers.

Example

Find LCM of 4 Numbers 12, 18, 24, 30 using the GCF Method?

Solution:

Given Input Numbers are 12, 18, 24, 30

Step 1: Find the LCM of the first two numbers 12, 18

LCM(12, 18) = 36

Step 2: Find LCM of the last two numbers i.e. 24, 30

LCM(24, 30) = 120

Lastly find the LCM of results obtained 36, 120 the smallest number that is divisible by both the numbers.

LCM(36, 120) = 360

Therefore LCM(12, 18, 24, 30) is 360

1. How to find LCM of 4 Numbers using Calculator?

Simply enter the input 4 Numbers in the input fields and click on the Calculate Button to avail results in no time.

2. Where do I get Solved Examples finding the LCM of 4 Numbers?

You can get Solved Examples finding the LCM of 4 Numbers on our page.

3. Which website is best to access LCM of 4 Numbers Calculator?

Lcmgcf.com is a trusted portal where you can find the LCM of 4 Numbers Calculator and avail the results in no time.

4. Which Method is best to find the LCM of 4 Numbers?

We can't say one particular method is the best and you can choose the one that suits your level of understanding among all the methods available while finding the Least Common Multiple of 4 Numbers.