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LCM of 879, 879, 917, 996

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


Find the LCM of 879, 879, 917, 996 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, 879, 917, 996. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,879,917,996

Given numbers are 879,879,917,996

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

The LCM of 879,879,917,996 is 267606276.

Find LCM of 879,879,917,996 with Prime Factorization


3 879, 879, 917, 996
293 293, 293, 917, 332
1, 1, 917, 332

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

3 x 293 x 1 x 1 x 917 x 332 = 267606276

Therefore, the lowest common multiple of 879,879,917,996 is 267606276.

LCM Formula to Find Lowest Common Multiple of 879,879,917,996

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 879 x 917 x 996 = 705677749812

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

879 : 1, 3, 293, 879

917 : 1, 7, 131, 917

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,879,917,996, is 1.

Now, the common factors can be found like this.

879:3x 293

879:3x 293

917:7x 131

996:2x 2x 3x 83

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

3x 3x 293 = 2637

Therefore, the value for common factors is 2637.

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 = 705677749812/(1x2637)

LCM = 705677749812/2637

LCM = 267606276

Thus, we can understand that the LCM of 879,879,917,996 is 267606276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 879, 917, 996

1. What is the LCM of 879, 879, 917, 996?

Answer: LCM of 879, 879, 917, 996 is 267606276.

2. How to calculate the LCM of 879, 879, 917, 996?

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, 879, 917, 996.

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}.