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LCM of 643, 287, 779, 779, 382

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


Find the LCM of 643, 287, 779, 779, 382 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 643, 287, 779, 779, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 643,287,779,779,382

Given numbers are 643,287,779,779,382

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

The LCM of 643,287,779,779,382 is 1339398578.

Find LCM of 643,287,779,779,382 with Prime Factorization


19 643, 287, 779, 779, 382
41 643, 287, 41, 41, 382
643, 7, 1, 1, 382

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

19 x 41 x 643 x 7 x 1 x 1 x 382 = 1339398578

Therefore, the lowest common multiple of 643,287,779,779,382 is 1339398578.

LCM Formula to Find Lowest Common Multiple of 643,287,779,779,382

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.

643 x 287 x 779 x 779 x 382 = 42779051182742

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.

643 : 1, 643

287 : 1, 7, 41, 287

779 : 1, 19, 41, 779

779 : 1, 19, 41, 779

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,287,779,779,382, is 1.

Now, the common factors can be found like this.

643:643

287:7x 41

779:19x 41

779:19x 41

382:2x 191

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

19x 41x 41 = 31939

Therefore, the value for common factors is 31939.

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 = 42779051182742/(1x31939)

LCM = 42779051182742/31939

LCM = 1339398578

Thus, we can understand that the LCM of 643,287,779,779,382 is 1339398578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 643, 287, 779, 779, 382

1. What is the LCM of 643, 287, 779, 779, 382?

Answer: LCM of 643, 287, 779, 779, 382 is 1339398578.

2. How to calculate the LCM of 643, 287, 779, 779, 382?

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 643, 287, 779, 779, 382.

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}.