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LCM of 426, 345, 638, 872, 579

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


Find the LCM of 426, 345, 638, 872, 579 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 426, 345, 638, 872, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,345,638,872,579

Given numbers are 426,345,638,872,579

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

The LCM of 426,345,638,872,579 is 1315048955880.

Find LCM of 426,345,638,872,579 with Prime Factorization


2 426, 345, 638, 872, 579
3 213, 345, 319, 436, 579
71, 115, 319, 436, 193

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

2 x 3 x 71 x 115 x 319 x 436 x 193 = 1315048955880

Therefore, the lowest common multiple of 426,345,638,872,579 is 1315048955880.

LCM Formula to Find Lowest Common Multiple of 426,345,638,872,579

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.

426 x 345 x 638 x 872 x 579 = 47341762411680

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

345 : 1, 3, 5, 15, 23, 69, 115, 345

638 : 1, 2, 11, 22, 29, 58, 319, 638

872 : 1, 2, 4, 8, 109, 218, 436, 872

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,345,638,872,579, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

345:3x 5x 23

638:2x 11x 29

872:2x 2x 2x 109

579:3x 193

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 47341762411680/(1x36)

LCM = 47341762411680/36

LCM = 1315048955880

Thus, we can understand that the LCM of 426,345,638,872,579 is 1315048955880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 345, 638, 872, 579

1. What is the LCM of 426, 345, 638, 872, 579?

Answer: LCM of 426, 345, 638, 872, 579 is 1315048955880.

2. How to calculate the LCM of 426, 345, 638, 872, 579?

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 426, 345, 638, 872, 579.

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}.