What is LCM

LCM or lowest common multiple is the smallest whole number in the times tables of the given numbers.

LCM stands for Lowest Common Multiple. It’s the smallest positive integer that is divisible by two or more given numbers without leaving a remainder. Calculating the LCM is often useful in adding or subtracting fractions with different denominators.

LCM stands for "Least Common Multiple." It is the smallest positive integer that is a multiple of two or more numbers.

In other words, it is the smallest number that all the given numbers can divide into evenly.

The LCM is often used in various mathematical operations, such as adding or subtracting fractions with different denominators.

Usually fractions look scary and people often avoid them but using LCM you can make it simple and hence solve it easily.

Least common multiple

LCM is the short form for “Least Common Multiple.” The least common multiple is defined as the smallest multiple that two or more numbers have in common. For example: Take two integers, 2 and 3. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

LCM is least common factor

LCM is least common multiple. For example; LCM of 5 and 15 is 15.

Lowest common multiple

LCM stands for Least Common Multiple. It is the smallest number that is a multiple of two or more numbers. 

To find the LCM of two numbers, follow these steps:

List the Multiples: Write down the multiples of each number until you find a common one.

Identify the Smallest Common Multiple: Look for the smallest number that appears in both lists.

Example: Finding the LCM of 4 and 5

Multiples of 4:

• 4, 8, 12, 16, 20, 24, 28, 32, ...

Multiples of 5:

• 5, 10, 15, 20, 25, 30, 35, ...

Common Multiples:

• Both lists contain 20.

LCM:

• The smallest common multiple is 20.

LCM stands for lowest common multiple. We write out the multiplications for the numbers and then look for the first 'number' that appears in both lists. This is the LCM.

LCM stands for the least common multiple or the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. Let's look at an example for a better understanding: let's look at 2 numbers: 3 and 7. Each has their own set of multiples:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27,...

Multiples of 7: 7, 14, 21, 28, 35, 42,...

By looking at their multiples, we can notice that the first common multiple for 3 and 7 is 21. This is the least common multiple for 3 and 7. This is called the Listing Method which basically means listing a few multiples of each number until the lowest common multiple (LCM) is found. This method is used generally for low numbers where the LCM can be found only after a few listed multiples.

Another method available for finding LCM is by Prime Factorization Method, which is the most popular method as it is applicable for any number, low or high. The steps to be followed to use this method are the following:

• Step 1: Find the prime factors of the given numbers by repeated division method.
• Step 2: Write the numbers in their exponent form. Find the product of only those prime factors that have the highest power.
• Step 3: The product of these factors with the highest powers is the LCM of the given numbers.

In order to understand better this method, let's look at an example:

Example: Find the least common multiple (LCM) of 50 and 120 using prime factorization.

Solution: Let us find the LCM of 50 and 120 using the prime factorization method.

• Step 1: The prime factorization of 50 and 120 are: 50 = 2 × 5 × 5 and 120 = 2 × 2 × 2 × 3 × 5
• Step 2: If we write these prime factors in their exponent form it will be expressed as 50 = 2¹ × 5 ²  and

120 = 2³ × 3 × 5

• Step 3: Now, we will find the product of only those factors that have the highest powers among these. This will be: 2³ × 3¹ × 5² = 8 × 3 × 25 = 600

Therefore, LCM of 50 and 120 is = 600.

The Least Common Multiple (LCM) is the smallest number that is a multiple of two or more numbers. It is important when working with fractions, time intervals, or events that need synchronization.

How LCM Works:

• Multiples: Numbers we get by multiplying a number by 1, 2, 3, etc.

Example: Multiples of 4 are 4, 8, 12, 16, …

• Common Multiple: A number that is a multiple of all given numbers.

Example: For 4 and 6, common multiples are 12, 24, …

• Least Common Multiple: The smallest of these common multiples.

Example: For 4 and 6, LCM = 12.

How to Find the LCM:

1. List Multiples:

• Write the multiples of each number until you find the smallest common one.

• Example:

• Multiples of 4: 4, 8, 12, 16, …

• Multiples of 6: 6, 12, 18, …

• LCM = 12.

LCM stands for Lowest common multiple. It is the smallest number that divides evenly into the numbers given in the question. e.g the LCM of 10 and 15 would be 5.

Lowest common multiple

LCM stands for Lowest Common Multiple.

A common multiple is a multiple that two or more numbers share. For example, 72 is a common multiple of 12 and 18, because 72 is in the 12 times tables and the 18 times tables.

The Lowest Common Multiple (LCM), is the smallest multiple that two or more numbers' share.

For example, the LCM of 12 and 18 is 36, because 36 is the smallest (lowest) number that appears in the 12 times tables and the 18 times tables.

12 times tables: 12, 24, 36, 48, 60, 72, 84, ...

18 times tables: 18, 36, 54, 72, 90, 108, ...