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LCM of 586, 370, 286, 808, 353

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


Find the LCM of 586, 370, 286, 808, 353 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 586, 370, 286, 808, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,370,286,808,353

Given numbers are 586,370,286,808,353

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

The LCM of 586,370,286,808,353 is 2210861069560.

Find LCM of 586,370,286,808,353 with Prime Factorization


2 586, 370, 286, 808, 353
293, 185, 143, 404, 353

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

2 x 293 x 185 x 143 x 404 x 353 = 2210861069560

Therefore, the lowest common multiple of 586,370,286,808,353 is 2210861069560.

LCM Formula to Find Lowest Common Multiple of 586,370,286,808,353

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.

586 x 370 x 286 x 808 x 353 = 17686888556480

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.

586 : 1, 2, 293, 586

370 : 1, 2, 5, 10, 37, 74, 185, 370

286 : 1, 2, 11, 13, 22, 26, 143, 286

808 : 1, 2, 4, 8, 101, 202, 404, 808

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,370,286,808,353, is 1.

Now, the common factors can be found like this.

586:2x 293

370:2x 5x 37

286:2x 11x 13

808:2x 2x 2x 101

353:353

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17686888556480/(1x8)

LCM = 17686888556480/8

LCM = 2210861069560

Thus, we can understand that the LCM of 586,370,286,808,353 is 2210861069560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 370, 286, 808, 353

1. What is the LCM of 586, 370, 286, 808, 353?

Answer: LCM of 586, 370, 286, 808, 353 is 2210861069560.

2. How to calculate the LCM of 586, 370, 286, 808, 353?

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 586, 370, 286, 808, 353.

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}.