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LCM of 631, 338, 417, 826

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


Find the LCM of 631, 338, 417, 826 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 631, 338, 417, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 631,338,417,826

Given numbers are 631,338,417,826

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

The LCM of 631,338,417,826 is 36730950438.

Find LCM of 631,338,417,826 with Prime Factorization


2 631, 338, 417, 826
631, 169, 417, 413

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

2 x 631 x 169 x 417 x 413 = 36730950438

Therefore, the lowest common multiple of 631,338,417,826 is 36730950438.

LCM Formula to Find Lowest Common Multiple of 631,338,417,826

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.

631 x 338 x 417 x 826 = 73461900876

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.

631 : 1, 631

338 : 1, 2, 13, 26, 169, 338

417 : 1, 3, 139, 417

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,338,417,826, is 1.

Now, the common factors can be found like this.

631:631

338:2x 13x 13

417:3x 139

826:2x 7x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 73461900876/(1x2)

LCM = 73461900876/2

LCM = 36730950438

Thus, we can understand that the LCM of 631,338,417,826 is 36730950438.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 631, 338, 417, 826

1. What is the LCM of 631, 338, 417, 826?

Answer: LCM of 631, 338, 417, 826 is 36730950438.

2. How to calculate the LCM of 631, 338, 417, 826?

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 631, 338, 417, 826.

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}.