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LCM of 364, 388, 498, 581

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


Find the LCM of 364, 388, 498, 581 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 364, 388, 498, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,388,498,581

Given numbers are 364,388,498,581

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

The LCM of 364,388,498,581 is 8791692.

Find LCM of 364,388,498,581 with Prime Factorization


2 364, 388, 498, 581
2 182, 194, 249, 581
7 91, 97, 249, 581
83 13, 97, 249, 83
13, 97, 3, 1

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

2 x 2 x 7 x 83 x 13 x 97 x 3 x 1 = 8791692

Therefore, the lowest common multiple of 364,388,498,581 is 8791692.

LCM Formula to Find Lowest Common Multiple of 364,388,498,581

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.

364 x 388 x 498 x 581 = 40863784416

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

388 : 1, 2, 4, 97, 194, 388

498 : 1, 2, 3, 6, 83, 166, 249, 498

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,388,498,581, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

388:2x 2x 97

498:2x 3x 83

581:7x 83

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

2x 2x 2x 7x 83 = 4648

Therefore, the value for common factors is 4648.

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 = 40863784416/(1x4648)

LCM = 40863784416/4648

LCM = 8791692

Thus, we can understand that the LCM of 364,388,498,581 is 8791692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 388, 498, 581

1. What is the LCM of 364, 388, 498, 581?

Answer: LCM of 364, 388, 498, 581 is 8791692.

2. How to calculate the LCM of 364, 388, 498, 581?

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 364, 388, 498, 581.

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}.