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LCM of 206, 586, 339, 167, 790

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


Find the LCM of 206, 586, 339, 167, 790 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 206, 586, 339, 167, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,586,339,167,790

Given numbers are 206,586,339,167,790

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

The LCM of 206,586,339,167,790 is 1349733744330.

Find LCM of 206,586,339,167,790 with Prime Factorization


2 206, 586, 339, 167, 790
103, 293, 339, 167, 395

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

2 x 103 x 293 x 339 x 167 x 395 = 1349733744330

Therefore, the lowest common multiple of 206,586,339,167,790 is 1349733744330.

LCM Formula to Find Lowest Common Multiple of 206,586,339,167,790

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.

206 x 586 x 339 x 167 x 790 = 5398934977320

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.

206 : 1, 2, 103, 206

586 : 1, 2, 293, 586

339 : 1, 3, 113, 339

167 : 1, 167

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,586,339,167,790, is 1.

Now, the common factors can be found like this.

206:2x 103

586:2x 293

339:3x 113

167:167

790:2x 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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5398934977320/(1x4)

LCM = 5398934977320/4

LCM = 1349733744330

Thus, we can understand that the LCM of 206,586,339,167,790 is 1349733744330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 586, 339, 167, 790

1. What is the LCM of 206, 586, 339, 167, 790?

Answer: LCM of 206, 586, 339, 167, 790 is 1349733744330.

2. How to calculate the LCM of 206, 586, 339, 167, 790?

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 206, 586, 339, 167, 790.

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}.