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LCM of 677, 898, 428, 814, 811

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


Find the LCM of 677, 898, 428, 814, 811 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 677, 898, 428, 814, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,898,428,814,811

Given numbers are 677,898,428,814,811

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

The LCM of 677,898,428,814,811 is 42943164254188.

Find LCM of 677,898,428,814,811 with Prime Factorization


2 677, 898, 428, 814, 811
677, 449, 214, 407, 811

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

2 x 677 x 449 x 214 x 407 x 811 = 42943164254188

Therefore, the lowest common multiple of 677,898,428,814,811 is 42943164254188.

LCM Formula to Find Lowest Common Multiple of 677,898,428,814,811

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.

677 x 898 x 428 x 814 x 811 = 171772657016752

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.

677 : 1, 677

898 : 1, 2, 449, 898

428 : 1, 2, 4, 107, 214, 428

814 : 1, 2, 11, 22, 37, 74, 407, 814

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,898,428,814,811, is 1.

Now, the common factors can be found like this.

677:677

898:2x 449

428:2x 2x 107

814:2x 11x 37

811:811

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 171772657016752/(1x4)

LCM = 171772657016752/4

LCM = 42943164254188

Thus, we can understand that the LCM of 677,898,428,814,811 is 42943164254188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 898, 428, 814, 811

1. What is the LCM of 677, 898, 428, 814, 811?

Answer: LCM of 677, 898, 428, 814, 811 is 42943164254188.

2. How to calculate the LCM of 677, 898, 428, 814, 811?

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 677, 898, 428, 814, 811.

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}.