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LCM of 512, 410, 869, 643, 711

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


Find the LCM of 512, 410, 869, 643, 711 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 512, 410, 869, 643, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,410,869,643,711

Given numbers are 512,410,869,643,711

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

The LCM of 512,410,869,643,711 is 527833658880.

Find LCM of 512,410,869,643,711 with Prime Factorization


2 512, 410, 869, 643, 711
79 256, 205, 869, 643, 711
256, 205, 11, 643, 9

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

2 x 79 x 256 x 205 x 11 x 643 x 9 = 527833658880

Therefore, the lowest common multiple of 512,410,869,643,711 is 527833658880.

LCM Formula to Find Lowest Common Multiple of 512,410,869,643,711

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.

512 x 410 x 869 x 643 x 711 = 83397718103040

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.

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

410 : 1, 2, 5, 10, 41, 82, 205, 410

869 : 1, 11, 79, 869

643 : 1, 643

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,410,869,643,711, is 1.

Now, the common factors can be found like this.

512:2x 2x 2x 2x 2x 2x 2x 2x 2

410:2x 5x 41

869:11x 79

643:643

711:3x 3x 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 79 = 158

Therefore, the value for common factors is 158.

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 = 83397718103040/(1x158)

LCM = 83397718103040/158

LCM = 527833658880

Thus, we can understand that the LCM of 512,410,869,643,711 is 527833658880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 410, 869, 643, 711

1. What is the LCM of 512, 410, 869, 643, 711?

Answer: LCM of 512, 410, 869, 643, 711 is 527833658880.

2. How to calculate the LCM of 512, 410, 869, 643, 711?

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 512, 410, 869, 643, 711.

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}.