Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the handy LCM of 3 Numbers Calculator to evaluate the Least Common Multiple of three numbers given as the inputs. All you need to do is simply provide the input numbers in the respective field and click on the calculate button to get the LCM in no time.
Here are some samples of LCM of 3 Numbers calculations.
LCM of 3 Numbers Calculator: Do you feel finding the Least Common Multiple difficult? Don't worry as you can use our handy tool that finds LCM of given numbers in a short span of time. Unlike other tools, this calculator provides a detailed explanation and shows the entire work so that you can understand the concept easily. Know the Procedure to find the Least Common Multiple of 3 Numbers using different methods along with solved examples in the forthcoming sections.
The Least Common Multiple is the smallest integer that is divisible by all the numbers. For three integers a, b, c LCM is denoted as LCM(a, b, c). It is also known as LCD or Least Common Denominator.
For instance LCM of 12, 15, 10 is 60 the smallest number that is divisible by all three numbers. Therefore LCM(12, 15, 10) = 60.
Procedure to find the Least Common Multiple of 3 Numbers
Check out the manual procedure on how to find LCM of 3 numbers by hand using different techniques. Each of the methods is explained using step by step process along with solved examples. Understand the concept better and choose the method that is convenient for you. If you feel any difficulty They are along the lines
LCM of 3 Numbers using Listing Multiples
Find LCM(6, 7, 21) using Listing Multiples?
Given numbers are 6, 7, 21
Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56
Multiples of 21 are 21, 42, 63
As per the definition, LCM is the smallest number that is common in all 3 numbers multiples.
Thus, 42 is the LCM of 6, 7, 21.
LCM of Three Numbers using Prime Factorization
Find LCM of 12, 24, 30 using Prime Factorization?
Prime Factorization of 12 = 2 × 2 × 3
Prime Factorization of 24 = 2 × 2 × 2 × 3
Prime Factorization of 30 = 2 × 3 × 5
Make a note of prime numbers that occur often for the given numbers and multiply them
How to find LCM of 3 Numbers using the Cake/ Ladder Method?
The cake or Ladder Method is the easiest method to find the Least Common Multiple of all the methods. Go through the procedure below
Find the LCM(10, 12, 15) using the Cake/ Ladder Method?
Given Numbers are 10, 12, 15
To find LCM Multiply all the prime numbers from top to bottom i.e. 2*3*5*1*2*1
Therefore, LCM(10, 12, 15) is 60
If you are looking for help on finding the LCM, GCF concepts you can always visit the portal lcmgcf.com to clear all your queries.
Steps to find LCM of 3 Numbers using the Division Method?
Find LCM of 10, 18, 25 using the Division Method?
LCM is the Product of Prime Numbers in the first column
LCM = 2 × 3 × 3 × 5 × 5
LCM = 450
Therefore, LCM(10, 18, 25) is 450.
Finding LCD of 3 Numbers using GCF?
Find the LCM(12, 24, 36) using the GCF Method?
Given Numbers are 12, 24, 36
Step 1:Find the LCM of the first 2 numbers 12, 24
LCM of 12, 24 is 24 the smallest number that is divisible by both the numbers.
Step 2: Now take the LCM of the result i.e. 24, 36
LCM(24, 36) = 72
72 is the smallest number that is divisible by both the numbers.
Therefore, the LCM(12, 24, 36) is 72.
1. What does LCM Stand for?
LCM Stands for Least Common Multiple. It is also known as the Least Common Denominator or LCD.
2. What is meant by Least Common Multiple?
The Least Common Multiple is the smallest integer that is divisible by all the numbers.
3. What are the different methods to find LCM?
There are five different methods to find LCM and they are as such
4. How to find LCM of 3 numbers using a Calculator?
Simply provide the inputs in the input field and click on the calculate button to get the Least Common Multiple along with detailed work in no time.