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LCM of 578, 872, 397, 794

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


Find the LCM of 578, 872, 397, 794 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 578, 872, 397, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,872,397,794

Given numbers are 578,872,397,794

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

The LCM of 578,872,397,794 is 100047176.

Find LCM of 578,872,397,794 with Prime Factorization


2 578, 872, 397, 794
397 289, 436, 397, 397
289, 436, 1, 1

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

2 x 397 x 289 x 436 x 1 x 1 = 100047176

Therefore, the lowest common multiple of 578,872,397,794 is 100047176.

LCM Formula to Find Lowest Common Multiple of 578,872,397,794

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.

578 x 872 x 397 x 794 = 158874915488

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.

578 : 1, 2, 17, 34, 289, 578

872 : 1, 2, 4, 8, 109, 218, 436, 872

397 : 1, 397

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,872,397,794, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

872:2x 2x 2x 109

397:397

794:2x 397

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 397 = 1588

Therefore, the value for common factors is 1588.

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 = 158874915488/(1x1588)

LCM = 158874915488/1588

LCM = 100047176

Thus, we can understand that the LCM of 578,872,397,794 is 100047176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 872, 397, 794

1. What is the LCM of 578, 872, 397, 794?

Answer: LCM of 578, 872, 397, 794 is 100047176.

2. How to calculate the LCM of 578, 872, 397, 794?

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 578, 872, 397, 794.

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}.