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LCM of 494, 819, 455, 321

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


Find the LCM of 494, 819, 455, 321 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 494, 819, 455, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,819,455,321

Given numbers are 494,819,455,321

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

The LCM of 494,819,455,321 is 16650270.

Find LCM of 494,819,455,321 with Prime Factorization


3 494, 819, 455, 321
7 494, 273, 455, 107
13 494, 39, 65, 107
38, 3, 5, 107

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

3 x 7 x 13 x 38 x 3 x 5 x 107 = 16650270

Therefore, the lowest common multiple of 494,819,455,321 is 16650270.

LCM Formula to Find Lowest Common Multiple of 494,819,455,321

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.

494 x 819 x 455 x 321 = 59091808230

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,819,455,321, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

819:3x 3x 7x 13

455:5x 7x 13

321:3x 107

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

3x 7x 13x 13 = 3549

Therefore, the value for common factors is 3549.

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 = 59091808230/(1x3549)

LCM = 59091808230/3549

LCM = 16650270

Thus, we can understand that the LCM of 494,819,455,321 is 16650270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 819, 455, 321

1. What is the LCM of 494, 819, 455, 321?

Answer: LCM of 494, 819, 455, 321 is 16650270.

2. How to calculate the LCM of 494, 819, 455, 321?

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 494, 819, 455, 321.

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}.