Finding LCM using Division Method
Division method is the method that is used to find the LCM of the number quickly. We find the LCM of two numbers 12 and 15 by following the steps added below,
Step 1: Write the number in the format as shown in the image added below,
Step 2: Starting from the first prime number write a prime number that is a factor of any of the number. (Here 2 is factor of 12). Divide the numbers with the prime to reduce the numbers.
Step 3: Continue the same pattern and then start increasing to next prime number as required. (Here, 2 is also a factor of 6 so we again divide by 2)
Step 4: Continue the Stpe 2 with next prime till we reduce all the numbers to 1
Step 5: Here, both the numbers are reduce to 1 so the LCM is the product of all the prime factors so obtained.
Thus, LCM of 12 and 15 = 2×2×3×5 = 60
Let’s consider another example for the same.
Example: Find the LCM of 20 and 30.
Solution:
LCM of 20 and 30 is calculated as,
LCM of 20 and 30 = 2×2×3×5 = 60
Here, 60 is the smallest multiple of 20 and 30 that is completely divided by both 20 and 30.
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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