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LCM of 515, 790, 104, 259, 525

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


Find the LCM of 515, 790, 104, 259, 525 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 515, 790, 104, 259, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,790,104,259,525

Given numbers are 515,790,104,259,525

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

The LCM of 515,790,104,259,525 is 16438367400.

Find LCM of 515,790,104,259,525 with Prime Factorization


2 515, 790, 104, 259, 525
5 515, 395, 52, 259, 525
7 103, 79, 52, 259, 105
103, 79, 52, 37, 15

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

2 x 5 x 7 x 103 x 79 x 52 x 37 x 15 = 16438367400

Therefore, the lowest common multiple of 515,790,104,259,525 is 16438367400.

LCM Formula to Find Lowest Common Multiple of 515,790,104,259,525

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.

515 x 790 x 104 x 259 x 525 = 5753428590000

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.

515 : 1, 5, 103, 515

790 : 1, 2, 5, 10, 79, 158, 395, 790

104 : 1, 2, 4, 8, 13, 26, 52, 104

259 : 1, 7, 37, 259

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,790,104,259,525, is 1.

Now, the common factors can be found like this.

515:5x 103

790:2x 5x 79

104:2x 2x 2x 13

259:7x 37

525:3x 5x 5x 7

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

2x 5x 5x 7 = 350

Therefore, the value for common factors is 350.

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 = 5753428590000/(1x350)

LCM = 5753428590000/350

LCM = 16438367400

Thus, we can understand that the LCM of 515,790,104,259,525 is 16438367400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 790, 104, 259, 525

1. What is the LCM of 515, 790, 104, 259, 525?

Answer: LCM of 515, 790, 104, 259, 525 is 16438367400.

2. How to calculate the LCM of 515, 790, 104, 259, 525?

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 515, 790, 104, 259, 525.

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}.