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LCM of 586, 604, 851, 381, 793

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


Find the LCM of 586, 604, 851, 381, 793 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 586, 604, 851, 381, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,604,851,381,793

Given numbers are 586,604,851,381,793

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

The LCM of 586,604,851,381,793 is 45502188165876.

Find LCM of 586,604,851,381,793 with Prime Factorization


2 586, 604, 851, 381, 793
293, 302, 851, 381, 793

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

2 x 293 x 302 x 851 x 381 x 793 = 45502188165876

Therefore, the lowest common multiple of 586,604,851,381,793 is 45502188165876.

LCM Formula to Find Lowest Common Multiple of 586,604,851,381,793

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.

586 x 604 x 851 x 381 x 793 = 91004376331752

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.

586 : 1, 2, 293, 586

604 : 1, 2, 4, 151, 302, 604

851 : 1, 23, 37, 851

381 : 1, 3, 127, 381

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,604,851,381,793, is 1.

Now, the common factors can be found like this.

586:2x 293

604:2x 2x 151

851:23x 37

381:3x 127

793:13x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 91004376331752/(1x2)

LCM = 91004376331752/2

LCM = 45502188165876

Thus, we can understand that the LCM of 586,604,851,381,793 is 45502188165876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 604, 851, 381, 793

1. What is the LCM of 586, 604, 851, 381, 793?

Answer: LCM of 586, 604, 851, 381, 793 is 45502188165876.

2. How to calculate the LCM of 586, 604, 851, 381, 793?

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 586, 604, 851, 381, 793.

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}.