In mathematics, LCM is a crucial concept, standing for “Least Common Multiple.” Understanding LCM requires familiarity with multiples. Let’s delve into how to find multiples, common multiples, and ultimately, how to determine the LCM.
LCM Full Forms
| LCM | Least Common Multiple |
| LCM | Lowest Common Multiple |
| LCM | Life Cycle Management |
| LCM | London College of Music |
| LCM | Laser-Capture Microdissection |
| LCM | Lighting Control Module |
| LCM | Liquid Crystal Module |
| LCM | Lymphocytic Choriomeningitis |
| LCM | Leeds College of Music |
| LCM | Long Course Meters |
| LCM | Lower of Cost or Market |
| LCM | Liquid Crystal Display Module |
| LCM | Liquid Composite Molding |
| LCM | Landing Craft, Mechanized |
| LCM | Life Cycle Model |
| LCM | Little Cypress-Mauriceville High School |
| LCM | Life Cycle Manager |
| LCM | Leadership and Change Management |
| LCM | Loss Cost Multiplier |
| LCM | Liquid Composite Molding |
| LCM | Linux Cluster Manager |
| LCM | Lat Computer Manager |
| LCM | Landesk Configuration Manager |
| LCM | Login Client Module |
| LCM | Large Core Memory |
| LCM | Lat Communications Manager |
| LCM | Life Cycle Methodology |
| LCM | Left Click Menu |
| LCM | Lost Circulation Material |
| LCM | Lutheran Church of the Master |
| LCM | Louisiana Children’s Museum |
| LCM | Loss Control Management |
| LCM | Landing Craft Medium |
| LCM | Letalski Center Maribor |
| LCM | Left Costal Margin |
| LCM | Sisters of the Little Company of Mary |
| LCM | Leadership Competency Model |
| LCM | London Canal Museum |
| LCM | Living Computer Museum |
| LCM | Loose Cubic Meter |
| LCM | Life Cycle Monitoring |
| LCM | Leather Case for Motorola |
| LCM | Line Control Module |
| LCM | Large-Capacity Magazine |
| LCM | Lawton Chiles Middle |
| LCM | Local Church Ministry |
| LCM | Large Case Management |
| LCM | Lead Containing Material |
| LCM | Live Current Media |
| LCM | Logistics Cost Management |
| LCM | Live Country Music |
| LCM | Loss Control Manual |
| LCM | Love, Courtship and Marriage |
| LCM | Low Cost Media |
| LCM | Liaison Committee Meeting |
| LCM | Lotsoff Capital Management |
| LCM | Low Cost Move |
| LCM | Legal & Compliance Management |
| LCM | LEAF Creation Method |
| LCM | Laser Countermeasure |
| LCM | Latitude Capital Management |
| LCM | Legal Costs Management |
| LCM | Line Concentrating Module |
| LCM | logical computing machine |
| LCM | Loyal Clan Member |
| LCM | Light Carrying Medium |
| LCM | Logistics Community Manager |
| LCM | Logic Control Module |
| LCM | Line Cost Model |
| LCM | Liquid Cooling Module |
| LCM | Level Converter Module |
| LCM | Launch Confirmation Message |
| LCM | Lens-CCD Module |
| LCM | Locally Corrected Nystrom Method |
| LCM | Lyreco Core Model |
| LCM | Linear Coded Modulation |
| LCM | Line Carrier Module |
| LCM | Lake Champlain and Moriah |
What is LCM?
LCM full form is Least Common Multiple. LCM is a concept in mathematics. To understand how to find LCM, you first need to know how to find multiples. Then, you can learn how to identify common multiples.
Basic Rule Multiple?
Understanding the concept of multiples is essential for finding them effortlessly.
- Every number is a multiple of itself.
- Every natural number is a multiple of “1”.
- A multiple of a number is always equal to or greater than the number itself.
- There is an infinite series of multiples for any given number.
- Numbers have unlimited multiples; there is no finite endpoint.
- Determining the greatest multiple is not feasible.
- The sole method to ascertain multiples is through a solid grasp of multiplication.
Therefore, mastering multiplication lays the foundation for effortlessly identifying multiples of any given number.
How to Find Multiple?
To find the multiples of a number, you can simply multiply that number by 1, 2, 3, 4, and so on. Let’s examine the first few multiples of 4.
| 4 x 1 = 4 |
| 4 x 2 = 8 |
| 4 x 3 = 12 |
| 4 x 4 = 16 |
| 4 x 5 = 20 |
| 4 x 6 = 24 |
| 4 x 7 = 28 |
| 4 x 8 = 32 |
| 4 x 9 = 36 |
| 4 x 10 = 10 |
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and 40. You can continue this pattern to find more multiples of 4, or apply the same process to any other number.
This method works for finding multiples of any number. Additionally, you can learn how to find the common multiples of multiple numbers.
How To Find Common Multiples? By Listing Method
Finding common multiples involves a straightforward process. A number that is a multiple of two or more numbers is termed a common multiple.
To identify common multiples, you first need to determine the multiples of each number individually, and then compare them. Here’s how to find the common multiples using an example with the numbers 2 and 3:
Multiples of 2 is 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26…
Multiples of 3 is 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36…
By comparing the lists, you can identify the common multiples of 2 and 3, which are 6, 12, 18, 24…
How To Find Common Multiples by Prime Factorisation?
To discover common multiples using prime factorization, first grasp the concept of prime factorization. Once you’re familiar with it, identifying common multiples becomes straightforward through this method.
How to Find Prime Factorisation?
Prime factorization is the process of expressing a number as the “product” of its prime factors. There are two common methods for finding the prime factorization of a number:
- Factor Tree Method: Start by dividing the number into two factors. Then, continue breaking down each factor into its own factors until you only have prime numbers left. This method involves drawing a tree-like structure to visualize the process.
- Common Division Method: Begin by dividing the number by the smallest prime number (usually 2) and continue dividing by prime numbers until the quotient is 1. Write down each prime factor as it’s found, and repeat the process until the quotient becomes 1.
Both methods are effective for finding the prime factorization of a number, and you can choose the one that works best for you.
How to Find Prime Factorisation? By Using Factor Tree
To find the prime factorization of a number using a factor tree, follow these simple steps:
- Begin with the smallest prime factor of the given number. For example, let’s consider the number 24.
- Identify the smallest prime factor of 24, which is 2.
- Divide 24 by 2 to get 12.
- Find the smallest prime factor of 12, which is also 2.
Divide 12 by 2 to get 6. - Again, find the smallest prime factor of 6, which is 2.
- Divide 6 by 2 to get 3.
- Since 3 is a prime number, the factor tree ends here.
By following this process, we can easily determine the prime factorization of any number. The factor tree method simplifies the task and makes it accessible for various numbers.
How to Find Prime Factorisation? By Common Division
To find the prime factorization of a number using the common division method, follow these steps:
- First dividing the No. by its smallest prime factor.
- Repeat the division process with the quotient obtained from the previous step until you can no longer divide it further by any smaller prime factor.
- Stop the division process when you reach a prime number.
- The prime factors obtained through this process represent the prime factorization of the original number.
This method simplifies the process of finding the prime factorization of any number. Now, let’s delve into understanding how to find the common multiple.
How to Find Common Multiple? by Prime Factorisation
To find the least common multiple (LCM) using prime factorization, follow these steps:
- First, let’s determine the prime factors of each number.
- Once you have the prime factors, list them out.
- Find the greatest exponent of each prime factor present in either number.
- To find the least common multiple (LCM), multiply the prime factors together.
How To Find The LCM?
“LCM stands for Least Common Multiple, and there are several methods to find it:
- Multiples Listing Method
- Common Division Method
- Prime Factorization Method
- Factor Tree Method
- Division Method
These methods offer different approaches to determine the least common multiple of given numbers.”
How To Find The LCM? by Listing Method
To find the Least Common Multiple (LCM) using the listing method, we start by listing out the multiples of the numbers we’re considering. Let’s find the LCM of 2 and 3.
Multiples of 2 is 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26…
Multiples of 3 is 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36…
Then, we identify the common multiples: 6, 12, 18, 24…
So, the Least Common Multiple (LCM) of 2 and 3 is 6.
How To Find The LCM? By Common Division Method
To find the LCM using the Common Division Method, follow these steps:
- Start dividing the numbers by prime factors, beginning with 2.
- Continue dividing until no further division is possible.
If you’re finding the LCM of multiple numbers and some don’t divide evenly, remember this rule: “If you’re finding the LCM of 4 numbers, and at least 50% of them divide evenly, proceed with those divisions. The numbers that don’t divide evenly will be carried over to the next step unchanged.”
LCM of 48, 72, and 108:
48 = 2 × 2 × 2 × 2 × 3
72 = 2 × 2 × 2 × 3 × 3
108 = 2 × 2 × 3 × 3 × 3
Now, combine all the prime factors with their highest powers:
LCM = 2^4 × 3^3 = 16 × 27 = 432
How To Find The LCM? by Prime Factorisation Method
In our discussion earlier, we explored the method of finding Common Multiples through Prime Factorization. This same approach can be applied to find the Least Common Multiple (LCM) as well. Keep in mind, you have the option to utilize either the Prime Factorization method to determine the LCM.
To reiterate, LCM stands for Least Common Multiple.
Final Point
“Hey friends! Do you know what LCM stands for? It’s the Least Common Multiple. And guess what? I’ve got the trick to find the LCM of any number! But hey, if you spot any room for improvement in this post, feel free to suggest your ideas. Let’s work together to enhance its quality. And if you dig this content, why not share it with your buddies?”