LCM Calculator

Students or individuals need to find out the LCM for various mathematical calculations. The abbreviation LCM stands for the Least Common Multiple. Finding out LCM takes time. The method of finding the LCM of fractions is specifically challenging. The mathematical questions involving fractions with different denominators take relatively more time and effort to find the LCM. Those who need to find the LCM for a set of numbers can use the LCM calculator online. Read on and get acquainted with the answers to questions like what is LCM, how to use the LCM calculator, how to find LCM, etc. Also, learn about the most reliable LCM calculator available online.

What is the LCM Calculator?

LCM Calculator is an efficient online browser-based resource that helps users find the LCM of a set of numbers. Users can find quick and accurate results with the help of the Least Common Multiple Calculator or the LCM calculator. The online LCM calculator greatly aids daily mathematical calculations and assignments. The manual calculation of LCM takes a lot of time. Students and professionals can use the Least Common Multiple calculator and save time. 

How to Use the LCM Calculator

Using the LCM calculator is easy. Students must discover a reliable LCM calculator online. They can check and use the LCM calculator available on the website of JAIN (Deemed-to-be University). They must enter the set of numbers for which the LCM has to be calculated. Users must finally click the “Calculate” button. The users must ensure to enter numbers separated by commas.

Online LCM Calculator at JAIN (Deemed-to-be University)

The online LCM calculator available on the website of JAIN (Deemed-to-be University) is one of the most efficient and reliable LCM calculators. The calculator offers accurate results through easy steps, as mentioned below.

Step 1: First, enter the numbers (for which you want to find the LCM) separated by commas in the mentioned field

Step 2: Next, click the "Calculate" button

Step 3: The LCM will be displayed immediately

Step 4: To find the LCM for more numbers, enter another pair of numbers and calculate

What is LCM (Least Common Multiple)?

LCM is the short form for the Least Common Multiple. The LCM is the smallest multiple, which is evenly divisible by two or more integers. In other words, LCM can be described as the smallest common multiple of the given numbers. LCM is also the smallest number that all the given numbers can divide into without leaving a remainder.

How to Find the LCM      

Students must know how to find LCM. Knowing how to find LCM helps solve numerous mathematical problems that need finding the LCM of specific numbers.

The Least Common Multiple (LCM) of a given set of numbers is the smallest number that is also the multiple of all the given numbers. Here’s how you can find the LCM:

Listing Multiples Method (For Small Numbers)

●     Write down the multiples of each number

●     Identify the smallest common multiple

●     Example: Find the LCM of 4 and 6

●     The multiples of 4 are 4, 8, 12, 16, 20 and 24

●     The multiples of 6 are 6, 12, 18, 24 and 30

●     The smallest common multiple is 12

●     So, LCM of 4 and 6 is 12

Prime Factorisation Method

●     Find the prime factorisation of each number

●     Take the highest power of each prime factor

●     Multiply them together

●     Example: Find LCM of 12 and 18

     12 = 2² × 3

     18 = 2 × 3²

●     Take the highest powers: 2² × 3² = 36

●     So, LCM (12,18) = 36

LCM Formula to Find LCM of Numbers Through the HCF Method            

The LCM formula is mainly used to find the LCM of numbers through the HCF method. The LCM formula to find the LCM of numbers using the HCF (Highest Common Factor) is given below.

LCM (a, b) = ∣a × b∣​divided by HCF (a, b) where a and b are numbers for which the LCM is required.

FAQs

Q1: What is the least common multiple of 8 and 10?

A1: The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, and more. The multiples of 10 are 10, 20, 30, 40, 50, 60, etc. The smallest common multiple is 40. Hence, the LCM or the Least Common Multiple of 8 and 10 is 40.

Q2: What is the least common multiple of 2 and 5?

A2: The LCM or the Least Common Multiple of 2 and 5 is 10.

Q3: What is the least common multiple of 3 and 7?

A3: The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, etc., while those of 7 are 7, 14, 21, 28, 35, 42, and more. The smallest common multiple is 21. Hence, the LCM of 3 and 7 is 21.

Q4: What is the LCM of 3 and 5?

A4: The Least Common Multiple (LCM) of 3 and 5 is 15.

Q5: What is the LCM of 12, 18, and 24?

A5: The LCM of 12, 18, and 24 is 72.

Q6: How to calculate the LCM of two numbers?

A6: To find the LCM of two numbers, list their multiples and pick the smallest common one. One can also apply the formula LCM(a, b) = (a × b) / HCF(a, b) where a and b are the two numbers for which the LCM is needed.

Q7: How to calculate the LCM of 3 numbers?

A7: To find the LCM of three numbers, list their multiples and pick the smallest common one. One can also use the prime factorisation method. In the prime factorisation method, take the highest powers of all prime numbers. Now, find the LCM of two numbers first, then find the LCM of the result with the third number.