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LCM of 586, 128, 586, 802, 950

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


Find the LCM of 586, 128, 586, 802, 950 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, 128, 586, 802, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,128,586,802,950

Given numbers are 586,128,586,802,950

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

The LCM of 586,128,586,802,950 is 7143574400.

Find LCM of 586,128,586,802,950 with Prime Factorization


2 586, 128, 586, 802, 950
293 293, 64, 293, 401, 475
1, 64, 1, 401, 475

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

2 x 293 x 1 x 64 x 1 x 401 x 475 = 7143574400

Therefore, the lowest common multiple of 586,128,586,802,950 is 7143574400.

LCM Formula to Find Lowest Common Multiple of 586,128,586,802,950

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 128 x 586 x 802 x 950 = 33489076787200

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

586 : 1, 2, 293, 586

802 : 1, 2, 401, 802

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,128,586,802,950, is 2.

Now, the common factors can be found like this.

586:2x 293

128:2x 2x 2x 2x 2x 2x 2

586:2x 293

802:2x 401

950:2x 5x 5x 19

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 2x 293 = 2344

Therefore, the value for common factors is 2344.

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 = 33489076787200/(2x2344)

LCM = 33489076787200/4688

LCM = 7143574400

Thus, we can understand that the LCM of 586,128,586,802,950 is 7143574400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 128, 586, 802, 950

1. What is the LCM of 586, 128, 586, 802, 950?

Answer: LCM of 586, 128, 586, 802, 950 is 7143574400.

2. How to calculate the LCM of 586, 128, 586, 802, 950?

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, 128, 586, 802, 950.

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}.