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LCM of 770, 917, 296, 711, 879

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


Find the LCM of 770, 917, 296, 711, 879 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 770, 917, 296, 711, 879. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,917,296,711,879

Given numbers are 770,917,296,711,879

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

The LCM of 770,917,296,711,879 is 3110004069480.

Find LCM of 770,917,296,711,879 with Prime Factorization


2 770, 917, 296, 711, 879
3 385, 917, 148, 711, 879
7 385, 917, 148, 237, 293
55, 131, 148, 237, 293

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

2 x 3 x 7 x 55 x 131 x 148 x 237 x 293 = 3110004069480

Therefore, the lowest common multiple of 770,917,296,711,879 is 3110004069480.

LCM Formula to Find Lowest Common Multiple of 770,917,296,711,879

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.

770 x 917 x 296 x 711 x 879 = 130620170918160

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

917 : 1, 7, 131, 917

296 : 1, 2, 4, 8, 37, 74, 148, 296

711 : 1, 3, 9, 79, 237, 711

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,917,296,711,879, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

917:7x 131

296:2x 2x 2x 37

711:3x 3x 79

879:3x 293

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 = 130620170918160/(1x42)

LCM = 130620170918160/42

LCM = 3110004069480

Thus, we can understand that the LCM of 770,917,296,711,879 is 3110004069480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 917, 296, 711, 879

1. What is the LCM of 770, 917, 296, 711, 879?

Answer: LCM of 770, 917, 296, 711, 879 is 3110004069480.

2. How to calculate the LCM of 770, 917, 296, 711, 879?

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 770, 917, 296, 711, 879.

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}.