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LCM of 340, 859, 779, 794

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


Find the LCM of 340, 859, 779, 794 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 340, 859, 779, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,859,779,794

Given numbers are 340,859,779,794

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

The LCM of 340,859,779,794 is 90323351780.

Find LCM of 340,859,779,794 with Prime Factorization


2 340, 859, 779, 794
170, 859, 779, 397

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

2 x 170 x 859 x 779 x 397 = 90323351780

Therefore, the lowest common multiple of 340,859,779,794 is 90323351780.

LCM Formula to Find Lowest Common Multiple of 340,859,779,794

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.

340 x 859 x 779 x 794 = 180646703560

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

859 : 1, 859

779 : 1, 19, 41, 779

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,859,779,794, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

859:859

779:19x 41

794:2x 397

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

2 = 2

Therefore, the value for common factors is 2.

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 = 180646703560/(1x2)

LCM = 180646703560/2

LCM = 90323351780

Thus, we can understand that the LCM of 340,859,779,794 is 90323351780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 859, 779, 794

1. What is the LCM of 340, 859, 779, 794?

Answer: LCM of 340, 859, 779, 794 is 90323351780.

2. How to calculate the LCM of 340, 859, 779, 794?

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 340, 859, 779, 794.

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}.