Do you know that for any given number except the two numbers 1 & 0, each and every number has two multiples? Among these two multiples, the smallest or the lowest is known as the lowest common multiple of that particular number. In short, it is also known as LCM.
There are three general methods for determining the multiples of two or more numbers. They are as follows: the first is the division method, the second is known as the prime factorization method, and the list of common multiples methods. In the following sections, we will attempt to solve some calculations involving the lowest common multiples of two numbers.
What are the Factors?
Any integer that aids in the arithmetic process of dividing numbers can be defined as a factor in mathematics. This phrase has been unearthed or derived from Latin terms that mean ‘doer’ or ‘performer.’ To get the factors of any value, utilize one of two mathematical operations: multiplication or division. Its applications may be observed in our daily lives as well; here are some instances to give you a basic understanding of it.
Example 1: Find the solution to certain calculations when your teacher instructs you to split the columns and rows into equal portions. Example 2: When traveling or exchanging money.
How to Find Multiples of Numbers?
Let’s know what multiples are,
If suppose you have a number say 10 then
10*1 equals 10
10*2 equals 20
10*3 equals 30
10*4 equals 40
10*5 equals 50
10*6 equals 60
All these numbers 10, 20, 30, 40, 50 & 60 are all multiples of the number 10.
You definitely need the multiples of two different numbers to find the LCM ( Lowest Common Multiple) of any numbers.
Some Examples based on the Lowest Common Multiple
Till now, we have discussed what multiples are and what is LCM. Let us solve some questions about it which will help you have a better understanding of the subject. The following examples given below will help you grasp the concept of LCM easily.
- Find the lowest common multiples of the numbers 4 and 6?
Let’s first note down all the information given in the question,
Numbers given = 4 & 6
Now, the first step is to find the multiples of the two given numbers-
Multiples of the number 4 = 4, 8, 12, 16 ,20
Multiples of the number 6 = 6, 12, 18, 24, 30
The multiples of the given numbers 4 & 6 are listed above.
Amongst the multiples listed above, 12 is the lowest and also the common one.
Therefore, the lowest common multiple of the numbers 4 & 6 is equal to 12.
- Find the lowest common multiple of the numbers 8 & 6?
Let’s first note down all the information given in the question,
Numbers given = 8, 6
Now, the first step is to find the multiples of the two given numbers-
Multiples of the number 8 = 8, 16, 24
Multiples of the number 6 = 6, 12, 18, 24
We can see that the common multiples for both the given numbers are 24.
Amongst the multiples given above, the lowest common multiple of 8 and 6 is 24.
Therefore, the lowest common multiple of 8 and 6 is equivalent to 24.
Factors & lowest common multiples are a very basic topic and you might need to learn about the 3 ways to find the LCM. If you want to study the factor of a number and how to find the lowest common multiple in a detailed manner, in a fun way, and in an interactive manner, you may visit the Cuemath website. Solving examples might give you a proper understanding of the topic.
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