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LCM of 386, 779, 667, 669, 686

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


Find the LCM of 386, 779, 667, 669, 686 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 386, 779, 667, 669, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,779,667,669,686

Given numbers are 386,779,667,669,686

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

The LCM of 386,779,667,669,686 is 46022566515366.

Find LCM of 386,779,667,669,686 with Prime Factorization


2 386, 779, 667, 669, 686
193, 779, 667, 669, 343

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

2 x 193 x 779 x 667 x 669 x 343 = 46022566515366

Therefore, the lowest common multiple of 386,779,667,669,686 is 46022566515366.

LCM Formula to Find Lowest Common Multiple of 386,779,667,669,686

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.

386 x 779 x 667 x 669 x 686 = 92045133030732

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.

386 : 1, 2, 193, 386

779 : 1, 19, 41, 779

667 : 1, 23, 29, 667

669 : 1, 3, 223, 669

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,779,667,669,686, is 1.

Now, the common factors can be found like this.

386:2x 193

779:19x 41

667:23x 29

669:3x 223

686:2x 7x 7x 7

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 = 92045133030732/(1x2)

LCM = 92045133030732/2

LCM = 46022566515366

Thus, we can understand that the LCM of 386,779,667,669,686 is 46022566515366.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 779, 667, 669, 686

1. What is the LCM of 386, 779, 667, 669, 686?

Answer: LCM of 386, 779, 667, 669, 686 is 46022566515366.

2. How to calculate the LCM of 386, 779, 667, 669, 686?

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 386, 779, 667, 669, 686.

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}.