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LCM of 813, 813, 549, 709

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


Find the LCM of 813, 813, 549, 709 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 813, 813, 549, 709. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,813,549,709

Given numbers are 813,813,549,709

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

The LCM of 813,813,549,709 is 105484311.

Find LCM of 813,813,549,709 with Prime Factorization


3 813, 813, 549, 709
271 271, 271, 183, 709
1, 1, 183, 709

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

3 x 271 x 1 x 1 x 183 x 709 = 105484311

Therefore, the lowest common multiple of 813,813,549,709 is 105484311.

LCM Formula to Find Lowest Common Multiple of 813,813,549,709

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.

813 x 813 x 549 x 709 = 257276234529

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.

813 : 1, 3, 271, 813

813 : 1, 3, 271, 813

549 : 1, 3, 9, 61, 183, 549

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,813,549,709, is 1.

Now, the common factors can be found like this.

813:3x 271

813:3x 271

549:3x 3x 61

709:709

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

3x 3x 271 = 2439

Therefore, the value for common factors is 2439.

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 = 257276234529/(1x2439)

LCM = 257276234529/2439

LCM = 105484311

Thus, we can understand that the LCM of 813,813,549,709 is 105484311.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 813, 549, 709

1. What is the LCM of 813, 813, 549, 709?

Answer: LCM of 813, 813, 549, 709 is 105484311.

2. How to calculate the LCM of 813, 813, 549, 709?

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 813, 813, 549, 709.

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}.