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LCM of 503, 879, 329, 455, 920

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


Find the LCM of 503, 879, 329, 455, 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 503, 879, 329, 455, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,879,329,455,920

Given numbers are 503,879,329,455,920

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

The LCM of 503,879,329,455,920 is 1739738353080.

Find LCM of 503,879,329,455,920 with Prime Factorization


5 503, 879, 329, 455, 920
7 503, 879, 329, 91, 184
503, 879, 47, 13, 184

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

5 x 7 x 503 x 879 x 47 x 13 x 184 = 1739738353080

Therefore, the lowest common multiple of 503,879,329,455,920 is 1739738353080.

LCM Formula to Find Lowest Common Multiple of 503,879,329,455,920

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.

503 x 879 x 329 x 455 x 920 = 60890842357800

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.

503 : 1, 503

879 : 1, 3, 293, 879

329 : 1, 7, 47, 329

455 : 1, 5, 7, 13, 35, 65, 91, 455

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 503,879,329,455,920, is 1.

Now, the common factors can be found like this.

503:503

879:3x 293

329:7x 47

455:5x 7x 13

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.

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 60890842357800/(1x35)

LCM = 60890842357800/35

LCM = 1739738353080

Thus, we can understand that the LCM of 503,879,329,455,920 is 1739738353080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 879, 329, 455, 920

1. What is the LCM of 503, 879, 329, 455, 920?

Answer: LCM of 503, 879, 329, 455, 920 is 1739738353080.

2. How to calculate the LCM of 503, 879, 329, 455, 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 503, 879, 329, 455, 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}.