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LCM of 586, 411, 542, 864

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


Find the LCM of 586, 411, 542, 864 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, 411, 542, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,411,542,864

Given numbers are 586,411,542,864

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

The LCM of 586,411,542,864 is 9398774304.

Find LCM of 586,411,542,864 with Prime Factorization


2 586, 411, 542, 864
3 293, 411, 271, 432
293, 137, 271, 144

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

2 x 3 x 293 x 137 x 271 x 144 = 9398774304

Therefore, the lowest common multiple of 586,411,542,864 is 9398774304.

LCM Formula to Find Lowest Common Multiple of 586,411,542,864

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 411 x 542 x 864 = 112785291648

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

411 : 1, 3, 137, 411

542 : 1, 2, 271, 542

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,411,542,864, is 1.

Now, the common factors can be found like this.

586:2x 293

411:3x 137

542:2x 271

864:2x 2x 2x 2x 2x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 112785291648/(1x12)

LCM = 112785291648/12

LCM = 9398774304

Thus, we can understand that the LCM of 586,411,542,864 is 9398774304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 411, 542, 864

1. What is the LCM of 586, 411, 542, 864?

Answer: LCM of 586, 411, 542, 864 is 9398774304.

2. How to calculate the LCM of 586, 411, 542, 864?

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, 411, 542, 864.

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}.