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LCM of 682, 906, 920, 104, 637

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


Find the LCM of 682, 906, 920, 104, 637 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 682, 906, 920, 104, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,906,920,104,637

Given numbers are 682,906,920,104,637

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

The LCM of 682,906,920,104,637 is 90527356920.

Find LCM of 682,906,920,104,637 with Prime Factorization


2 682, 906, 920, 104, 637
2 341, 453, 460, 52, 637
2 341, 453, 230, 26, 637
13 341, 453, 115, 13, 637
341, 453, 115, 1, 49

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

2 x 2 x 2 x 13 x 341 x 453 x 115 x 1 x 49 = 90527356920

Therefore, the lowest common multiple of 682,906,920,104,637 is 90527356920.

LCM Formula to Find Lowest Common Multiple of 682,906,920,104,637

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.

682 x 906 x 920 x 104 x 637 = 37659380478720

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

906 : 1, 2, 3, 6, 151, 302, 453, 906

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

104 : 1, 2, 4, 8, 13, 26, 52, 104

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,906,920,104,637, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

906:2x 3x 151

920:2x 2x 2x 5x 23

104:2x 2x 2x 13

637:7x 7x 13

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

2x 2x 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 37659380478720/(1x416)

LCM = 37659380478720/416

LCM = 90527356920

Thus, we can understand that the LCM of 682,906,920,104,637 is 90527356920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 906, 920, 104, 637

1. What is the LCM of 682, 906, 920, 104, 637?

Answer: LCM of 682, 906, 920, 104, 637 is 90527356920.

2. How to calculate the LCM of 682, 906, 920, 104, 637?

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 682, 906, 920, 104, 637.

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}.