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LCM of 898, 782, 629, 811

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


Find the LCM of 898, 782, 629, 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 898, 782, 629, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,782,629,811

Given numbers are 898,782,629,811

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

The LCM of 898,782,629,811 is 10535997826.

Find LCM of 898,782,629,811 with Prime Factorization


2 898, 782, 629, 811
17 449, 391, 629, 811
449, 23, 37, 811

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

2 x 17 x 449 x 23 x 37 x 811 = 10535997826

Therefore, the lowest common multiple of 898,782,629,811 is 10535997826.

LCM Formula to Find Lowest Common Multiple of 898,782,629,811

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.

898 x 782 x 629 x 811 = 358223926084

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.

898 : 1, 2, 449, 898

782 : 1, 2, 17, 23, 34, 46, 391, 782

629 : 1, 17, 37, 629

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,782,629,811, is 1.

Now, the common factors can be found like this.

898:2x 449

782:2x 17x 23

629:17x 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 17 = 34

Therefore, the value for common factors is 34.

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 = 358223926084/(1x34)

LCM = 358223926084/34

LCM = 10535997826

Thus, we can understand that the LCM of 898,782,629,811 is 10535997826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 782, 629, 811

1. What is the LCM of 898, 782, 629, 811?

Answer: LCM of 898, 782, 629, 811 is 10535997826.

2. How to calculate the LCM of 898, 782, 629, 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 898, 782, 629, 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}.