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LCM of 689, 404, 586, 279

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


Find the LCM of 689, 404, 586, 279 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 689, 404, 586, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,404,586,279

Given numbers are 689,404,586,279

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

The LCM of 689,404,586,279 is 22754767932.

Find LCM of 689,404,586,279 with Prime Factorization


2 689, 404, 586, 279
689, 202, 293, 279

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

2 x 689 x 202 x 293 x 279 = 22754767932

Therefore, the lowest common multiple of 689,404,586,279 is 22754767932.

LCM Formula to Find Lowest Common Multiple of 689,404,586,279

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.

689 x 404 x 586 x 279 = 45509535864

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.

689 : 1, 13, 53, 689

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

586 : 1, 2, 293, 586

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,404,586,279, is 1.

Now, the common factors can be found like this.

689:13x 53

404:2x 2x 101

586:2x 293

279:3x 3x 31

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 = 45509535864/(1x2)

LCM = 45509535864/2

LCM = 22754767932

Thus, we can understand that the LCM of 689,404,586,279 is 22754767932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 404, 586, 279

1. What is the LCM of 689, 404, 586, 279?

Answer: LCM of 689, 404, 586, 279 is 22754767932.

2. How to calculate the LCM of 689, 404, 586, 279?

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 689, 404, 586, 279.

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}.