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LCM of 879, 273, 476, 950

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


Find the LCM of 879, 273, 476, 950 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 879, 273, 476, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,273,476,950

Given numbers are 879,273,476,950

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

The LCM of 879,273,476,950 is 2583644700.

Find LCM of 879,273,476,950 with Prime Factorization


2 879, 273, 476, 950
3 879, 273, 238, 475
7 293, 91, 238, 475
293, 13, 34, 475

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

2 x 3 x 7 x 293 x 13 x 34 x 475 = 2583644700

Therefore, the lowest common multiple of 879,273,476,950 is 2583644700.

LCM Formula to Find Lowest Common Multiple of 879,273,476,950

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.

879 x 273 x 476 x 950 = 108513077400

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.

879 : 1, 3, 293, 879

273 : 1, 3, 7, 13, 21, 39, 91, 273

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,273,476,950, is 1.

Now, the common factors can be found like this.

879:3x 293

273:3x 7x 13

476:2x 2x 7x 17

950:2x 5x 5x 19

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

2x 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 108513077400/(1x42)

LCM = 108513077400/42

LCM = 2583644700

Thus, we can understand that the LCM of 879,273,476,950 is 2583644700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 273, 476, 950

1. What is the LCM of 879, 273, 476, 950?

Answer: LCM of 879, 273, 476, 950 is 2583644700.

2. How to calculate the LCM of 879, 273, 476, 950?

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 879, 273, 476, 950.

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}.