LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 5394, 2813

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 5394, 2813 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 5394, 2813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5394,2813

Given numbers are 5394,2813

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 5394,2813 is 523218.

Find LCM of 5394,2813 with Prime Factorization


29 5394, 2813
186, 97

Multiply the prime numbers at the bottom and the left side.

29 x 186 x 97 = 523218

Therefore, the lowest common multiple of 5394,2813 is 523218.

LCM Formula to Find Lowest Common Multiple of 5394,2813

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

5394 x 2813 = 15173322

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

5394 : 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394

2813 : 1, 29, 97, 2813

29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5394,2813, is 29.

Now, the common factors can be found like this.

5394:2x 3x 29x 31

2813:29x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15173322/(29x1)

LCM = 15173322/29

LCM = 523218

Thus, we can understand that the LCM of 5394,2813 is 523218.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 5394, 2813

1. What is the LCM of 5394, 2813?

Answer: LCM of 5394, 2813 is 523218.

2. How to calculate the LCM of 5394, 2813?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 5394, 2813.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.