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LCM of 575, 793, 687, 713

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


Find the LCM of 575, 793, 687, 713 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 575, 793, 687, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,793,687,713

Given numbers are 575,793,687,713

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

The LCM of 575,793,687,713 is 9710899575.

Find LCM of 575,793,687,713 with Prime Factorization


23 575, 793, 687, 713
25, 793, 687, 31

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

23 x 25 x 793 x 687 x 31 = 9710899575

Therefore, the lowest common multiple of 575,793,687,713 is 9710899575.

LCM Formula to Find Lowest Common Multiple of 575,793,687,713

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.

575 x 793 x 687 x 713 = 223350690225

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.

575 : 1, 5, 23, 25, 115, 575

793 : 1, 13, 61, 793

687 : 1, 3, 229, 687

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,793,687,713, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

793:13x 61

687:3x 229

713:23x 31

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

23 = 23

Therefore, the value for common factors is 23.

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 = 223350690225/(1x23)

LCM = 223350690225/23

LCM = 9710899575

Thus, we can understand that the LCM of 575,793,687,713 is 9710899575.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 793, 687, 713

1. What is the LCM of 575, 793, 687, 713?

Answer: LCM of 575, 793, 687, 713 is 9710899575.

2. How to calculate the LCM of 575, 793, 687, 713?

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 575, 793, 687, 713.

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}.