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LCM of 779, 357, 886, 686

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


Find the LCM of 779, 357, 886, 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 779, 357, 886, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,357,886,686

Given numbers are 779,357,886,686

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

The LCM of 779,357,886,686 is 12073563642.

Find LCM of 779,357,886,686 with Prime Factorization


2 779, 357, 886, 686
7 779, 357, 443, 343
779, 51, 443, 49

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

2 x 7 x 779 x 51 x 443 x 49 = 12073563642

Therefore, the lowest common multiple of 779,357,886,686 is 12073563642.

LCM Formula to Find Lowest Common Multiple of 779,357,886,686

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.

779 x 357 x 886 x 686 = 169029890988

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.

779 : 1, 19, 41, 779

357 : 1, 3, 7, 17, 21, 51, 119, 357

886 : 1, 2, 443, 886

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 779,357,886,686, is 1.

Now, the common factors can be found like this.

779:19x 41

357:3x 7x 17

886:2x 443

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.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 169029890988/(1x14)

LCM = 169029890988/14

LCM = 12073563642

Thus, we can understand that the LCM of 779,357,886,686 is 12073563642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 357, 886, 686

1. What is the LCM of 779, 357, 886, 686?

Answer: LCM of 779, 357, 886, 686 is 12073563642.

2. How to calculate the LCM of 779, 357, 886, 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 779, 357, 886, 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}.