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LCM of 586, 356, 879, 713

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


Find the LCM of 586, 356, 879, 713 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, 356, 879, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,356,879,713

Given numbers are 586,356,879,713

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

The LCM of 586,356,879,713 is 223114812.

Find LCM of 586,356,879,713 with Prime Factorization


2 586, 356, 879, 713
293 293, 178, 879, 713
1, 178, 3, 713

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

2 x 293 x 1 x 178 x 3 x 713 = 223114812

Therefore, the lowest common multiple of 586,356,879,713 is 223114812.

LCM Formula to Find Lowest Common Multiple of 586,356,879,713

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 356 x 879 x 713 = 130745279832

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

356 : 1, 2, 4, 89, 178, 356

879 : 1, 3, 293, 879

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,356,879,713, is 1.

Now, the common factors can be found like this.

586:2x 293

356:2x 2x 89

879:3x 293

713:23x 31

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

2x 293 = 586

Therefore, the value for common factors is 586.

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 = 130745279832/(1x586)

LCM = 130745279832/586

LCM = 223114812

Thus, we can understand that the LCM of 586,356,879,713 is 223114812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 356, 879, 713

1. What is the LCM of 586, 356, 879, 713?

Answer: LCM of 586, 356, 879, 713 is 223114812.

2. How to calculate the LCM of 586, 356, 879, 713?

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, 356, 879, 713.

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}.