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Least Common Multiple

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

The Least Common Multiple Calculator is a convenient tool to find the least common multiple of numbers very quickly without putting too much effort. Simply just put the numbers whose least common multiple you wanna find, click the calculate button and let our tool do the rest of the work for you.

Ex: Least Common Multiple of 12, 48, 64 (or) Least Common Multiple of 16, 56, 22 (or) Least Common Multiple of 8, 72, 48

Least Common Multiple of:

Here are some samples of Least Common Multiple of Numbers calculations.

Related Calculators:

Least Common Multiple Calculator: Trying to find the Least Common Multiple for a set of numbers but it's getting too confusing. Try our Least Common Multiple Calculator that simply allows you to get the least common multiple of the number you want swiftly within no time. It also provides an outlook of the procedure which helps you to learn your concept greatly.

List of Least Common Multiple Calculators

Excited to use all these handy & instant online Least common multiples for attaining quick results? then, make use of the accessible links available over here and pick the suitable LCM calculator to solve the least common multiple of given numbers.

Know More about Multiples, Common Multiples and Least Common Multiple Calculator

Multiples are numbers multiplying one whole number with another whole number. You can multiply any number by another up to an infinite number of times. When a number is multiplied 2 or more times it is called common Multiples. The smallest number among common Multiples is referred to as the Least Common Multiples. There are various methods to solve the Multiples, Common Multiples and Least Common Multiple such as Common Multiple Method, Prime Factor Method and Common Division Method.

How do I Find the Least Common Multiple?

The Least Common Multiple can be found using the Prime factor method. To find the Least Common Multiple here are steps using the Prime factor method.

  1. Choose the numbers for which You wish to find the Least Common Multiple. 
  2. Write the Number in exponent form. 
  3. Find the product of the least common Multiple that has the highest power of each Number.
  4. Finally, You will get a Least Common Multiple of given numbers.

The Least Common Multiple can be found using the common Multiple method. To find the Least Common Multiple here are steps using the common Multiple method.

  1. Find a few multiples of the given numbers. 
  2. Select common multiplied numbers from Step 1.
  3. Identify the lowest Common multiple number from Step 2.
  4. Finally, You will get a Least Common Multiple of given numbers.

Solved Example for Least Common Multiple Calculator with Steps

Example:

Find the Least Common Multiple of 3,5 and 10 using the common Multiple method.

Solution:

Let's first find the Multiples for all numbers, to determine the Least Common Multiple of 3,5 and 10.

Multiples of 3 are:

3: 3,6,9,12,15,18,21,24,27,30

Multiples of 5 are:

5: 5,10,15,20,25,30,35,40,45,50

Multiples of 10 are:

10: 10,20,30,40,50,60,70,80,90,100

Now, Common Multiples of 3,5 and 10 are 30. 

Hence, LCM of 3,5 and 10 is 30.

Learn and clear all your Least Common Multiple related doubts by using our calculator at hcflcm.com also while learning concepts briefly and quickly.

FAQs on Least Common Multiple Calculator With All Steps

1. Can we find the LCM of a single number?

Yes LCM for a single number can be calculated by the prime factorization method.

2. What's the lowest common factor?

It is the lowest multiple shared by a particular set of numbers, for example, the lowest common factor for 4 and 6 is 12.

3. What is the easiest way to find the least common multiple of two numbers?

The Prime Factorization method is the easiest way to find the least common multiple of two numbers. In this method first, we find out the prime factors for both the numbers and then we write the selected two numbers in the exponent form after the product of prime numbers are calculated, which has the highest power of each number, finally, the product comes out as the LCM.

4. Where do we use the least common multiple?

The least common multiple is used in arithmetic and number theory to solve complex problems at a faster pace.