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LCM of 391, 196, 779, 718

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


Find the LCM of 391, 196, 779, 718 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 391, 196, 779, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,196,779,718

Given numbers are 391,196,779,718

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

The LCM of 391,196,779,718 is 21432100396.

Find LCM of 391,196,779,718 with Prime Factorization


2 391, 196, 779, 718
391, 98, 779, 359

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

2 x 391 x 98 x 779 x 359 = 21432100396

Therefore, the lowest common multiple of 391,196,779,718 is 21432100396.

LCM Formula to Find Lowest Common Multiple of 391,196,779,718

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.

391 x 196 x 779 x 718 = 42864200792

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.

391 : 1, 17, 23, 391

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

779 : 1, 19, 41, 779

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,196,779,718, is 1.

Now, the common factors can be found like this.

391:17x 23

196:2x 2x 7x 7

779:19x 41

718:2x 359

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 = 42864200792/(1x2)

LCM = 42864200792/2

LCM = 21432100396

Thus, we can understand that the LCM of 391,196,779,718 is 21432100396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 196, 779, 718

1. What is the LCM of 391, 196, 779, 718?

Answer: LCM of 391, 196, 779, 718 is 21432100396.

2. How to calculate the LCM of 391, 196, 779, 718?

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 391, 196, 779, 718.

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}.