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LCM of 779, 323, 391, 743

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


Find the LCM of 779, 323, 391, 743 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, 323, 391, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,323,391,743

Given numbers are 779,323,391,743

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

The LCM of 779,323,391,743 is 226309627.

Find LCM of 779,323,391,743 with Prime Factorization


17 779, 323, 391, 743
19 779, 19, 23, 743
41, 1, 23, 743

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

17 x 19 x 41 x 1 x 23 x 743 = 226309627

Therefore, the lowest common multiple of 779,323,391,743 is 226309627.

LCM Formula to Find Lowest Common Multiple of 779,323,391,743

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 323 x 391 x 743 = 73098009521

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

323 : 1, 17, 19, 323

391 : 1, 17, 23, 391

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,323,391,743, is 1.

Now, the common factors can be found like this.

779:19x 41

323:17x 19

391:17x 23

743:743

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 73098009521/(1x323)

LCM = 73098009521/323

LCM = 226309627

Thus, we can understand that the LCM of 779,323,391,743 is 226309627.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 323, 391, 743

1. What is the LCM of 779, 323, 391, 743?

Answer: LCM of 779, 323, 391, 743 is 226309627.

2. How to calculate the LCM of 779, 323, 391, 743?

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, 323, 391, 743.

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}.