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LCM of 309, 422, 586, 395

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


Find the LCM of 309, 422, 586, 395 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 309, 422, 586, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,422,586,395

Given numbers are 309,422,586,395

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

The LCM of 309,422,586,395 is 15091612530.

Find LCM of 309,422,586,395 with Prime Factorization


2 309, 422, 586, 395
309, 211, 293, 395

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

2 x 309 x 211 x 293 x 395 = 15091612530

Therefore, the lowest common multiple of 309,422,586,395 is 15091612530.

LCM Formula to Find Lowest Common Multiple of 309,422,586,395

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.

309 x 422 x 586 x 395 = 30183225060

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.

309 : 1, 3, 103, 309

422 : 1, 2, 211, 422

586 : 1, 2, 293, 586

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,422,586,395, is 1.

Now, the common factors can be found like this.

309:3x 103

422:2x 211

586:2x 293

395:5x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 30183225060/(1x2)

LCM = 30183225060/2

LCM = 15091612530

Thus, we can understand that the LCM of 309,422,586,395 is 15091612530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 422, 586, 395

1. What is the LCM of 309, 422, 586, 395?

Answer: LCM of 309, 422, 586, 395 is 15091612530.

2. How to calculate the LCM of 309, 422, 586, 395?

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 309, 422, 586, 395.

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}.