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LCM of 355, 328, 796, 558

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


Find the LCM of 355, 328, 796, 558 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 355, 328, 796, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,328,796,558

Given numbers are 355,328,796,558

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

The LCM of 355,328,796,558 is 6464865240.

Find LCM of 355,328,796,558 with Prime Factorization


2 355, 328, 796, 558
2 355, 164, 398, 279
355, 82, 199, 279

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

2 x 2 x 355 x 82 x 199 x 279 = 6464865240

Therefore, the lowest common multiple of 355,328,796,558 is 6464865240.

LCM Formula to Find Lowest Common Multiple of 355,328,796,558

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.

355 x 328 x 796 x 558 = 51718921920

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.

355 : 1, 5, 71, 355

328 : 1, 2, 4, 8, 41, 82, 164, 328

796 : 1, 2, 4, 199, 398, 796

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,328,796,558, is 1.

Now, the common factors can be found like this.

355:5x 71

328:2x 2x 2x 41

796:2x 2x 199

558:2x 3x 3x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 51718921920/(1x8)

LCM = 51718921920/8

LCM = 6464865240

Thus, we can understand that the LCM of 355,328,796,558 is 6464865240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 328, 796, 558

1. What is the LCM of 355, 328, 796, 558?

Answer: LCM of 355, 328, 796, 558 is 6464865240.

2. How to calculate the LCM of 355, 328, 796, 558?

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 355, 328, 796, 558.

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}.