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LCM of 323, 644, 574, 920

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


Find the LCM of 323, 644, 574, 920 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 323, 644, 574, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,644,574,920

Given numbers are 323,644,574,920

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

The LCM of 323,644,574,920 is 85284920.

Find LCM of 323,644,574,920 with Prime Factorization


2 323, 644, 574, 920
2 323, 322, 287, 460
7 323, 161, 287, 230
23 323, 23, 41, 230
323, 1, 41, 10

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

2 x 2 x 7 x 23 x 323 x 1 x 41 x 10 = 85284920

Therefore, the lowest common multiple of 323,644,574,920 is 85284920.

LCM Formula to Find Lowest Common Multiple of 323,644,574,920

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.

323 x 644 x 574 x 920 = 109846976960

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.

323 : 1, 17, 19, 323

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,644,574,920, is 1.

Now, the common factors can be found like this.

323:17x 19

644:2x 2x 7x 23

574:2x 7x 41

920:2x 2x 2x 5x 23

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 7x 23 = 1288

Therefore, the value for common factors is 1288.

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 = 109846976960/(1x1288)

LCM = 109846976960/1288

LCM = 85284920

Thus, we can understand that the LCM of 323,644,574,920 is 85284920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 644, 574, 920

1. What is the LCM of 323, 644, 574, 920?

Answer: LCM of 323, 644, 574, 920 is 85284920.

2. How to calculate the LCM of 323, 644, 574, 920?

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 323, 644, 574, 920.

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}.