Finding LCM using Listing Method
Finding LCM using the listing method is achieved using the steps added below, suppose we have to find the LCM of two numbers P and Q then
Step 1: Find and list all the multiples of P and Q.
Step 2: Observe the multiples of P and Q and find the lowest common multiple among them.
Step 3: Now the smallest common multiple of these P and Q is the LCM of P and Q.
For example, find the LCM of 6 and 8.
Solution:
List the multiple of 6 and 8
- Multiples of 6 = 6, 12, 18, 24, 50, …
- Multiples of 8 = 8, 16, 24, 32, 40, …
The least common multiple of 6 and 8 is, 24
Thus, the LCM of 6 and 8 is 24
Lowest Common Multiple – LCM
Least Common Multiple in maths is abbreviated as LCM and is used to find a number that is the smallest number that is divisible by two or more numbers perfectly. In other words, the LCM is the smallest multiple that each of the given numbers divides into evenly. LCM stands for Least Common Multiple i.e., LCM is the smallest multiple which is common for all the given numbers. We can easily find the LCM of two or more numbers by simply finding the prime factor of the given numbers and then taking the highest power of each factor of the numbers.
In this article, we will learn about Least Common Multiple (LCM) in maths, how to calculate LCM, its examples, and others in detail.
Table of Content
- What is Least Common Multiple (LCM)?
- How to Find the LCM of two Numbers?
- Finding LCM using Listing Method
- Finding LCM using Prime Factorization Method
- Finding LCM using Division Method
- Least Common Multiple (LCM) Formula
- Relationship Between LCM and HCF
- Difference Between LCM and HCF
- LCM of Three Numbers
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