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 546, 462, 819

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


Find the LCM of 546, 462, 819 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 546, 462, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,462,819

Given numbers are 546,462,819

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

The LCM of 546,462,819 is 18018.

Find LCM of 546,462,819 with Prime Factorization


2 546, 462, 819
3 273, 231, 819
7 91, 77, 273
13 13, 11, 39
1, 11, 3

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

2 x 3 x 7 x 13 x 1 x 11 x 3 = 18018

Therefore, the lowest common multiple of 546,462,819 is 18018.

LCM Formula to Find Lowest Common Multiple of 546,462,819

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.

546 x 462 x 819 = 206594388

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

21 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,462,819, is 21.

Now, the common factors can be found like this.

546:2x 3x 7x 13

462:2x 3x 7x 11

819:3x 3x 7x 13

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

2x 3x 7x 13 = 546

Therefore, the value for common factors is 546.

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 = 206594388/(21x546)

LCM = 206594388/11466

LCM = 18018

Thus, we can understand that the LCM of 546,462,819 is 18018.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 546, 462, 819

1. What is the LCM of 546, 462, 819?

Answer: LCM of 546, 462, 819 is 18018.

2. How to calculate the LCM of 546, 462, 819?

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 546, 462, 819.

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}.