How to Find LCM

You will learn how to calculate the least common multiple (LCM) of two or more numbers by reading this article. But before we get into the formula or method for calculating the least common multiple of a set of numbers, let's first get a grasp on what LCM is.

What is LCM?

LCM stands for "Least Common Multiple." It is used to find the smallest positive integer that is divisible by all the numbers (from which the LCM is computed). For example, the LCM of 2 and 3 is 6, as indicated by:

LCM(2, 3) = 6

As you can see, the number 6 is divisible by both the numbers 2 and 3. LCM (Least Common Multiple) can also be called:

Both expressions mean the same thing, which is to locate the smallest number such that it can be divided by the numbers that are provided (to which the LCM is to be calculated).

However, there is another method we can approach to find the LCM of a given set of numbers. Let's discuss.

Methods to find LCM

To find LCM, there are multiple methods available. But here, we will only discuss two popular methods:

Listing Multiples Method

To find LCM using the listing multiples method, we have to follow the algorithm given below:

Multiples of a number are numbers that are the products of a given number. For example, multiples of 3 are 3, 6, 9, 12, 15, 18, and so on. That is, when we multiply 3 by 5, we will get 15, which is the multiple of 3. Similarly, if we multiply 3 with any other number, the result we get will be the multiple of 3.

For example, let's find the LCM of 10, 12, and 15. Since I already stated that, we need to write down the multiples of these numbers and the least common multiple from all the lists of common multiples. Here is the list of some multiples of all three numbers:

Since 60 is the least common multiple of all the multiples of three numbers, Therefore, the LCM of 10, 12, and 15 is 60, which can be written as follows:

LCM(10, 12, 15) = 60

Ladder Method

This method of determining LCM is undeniably popular. It is also the easiest way to find out the LCM of two or more than two numbers. So, here is a step-by-step solution for finding the LCM of 10, 12, and 15 using the ladder method:

find lcm

I hope you are familiar with the above method. If you're not, then here are some main steps:

Programs on LCM of numbers in different languages

« Next Topic »

Liked this post? Share it!