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LCM of 581, 135, 675, 490, 513

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


Find the LCM of 581, 135, 675, 490, 513 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 581, 135, 675, 490, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 581,135,675,490,513

Given numbers are 581,135,675,490,513

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

The LCM of 581,135,675,490,513 is 104318550.

Find LCM of 581,135,675,490,513 with Prime Factorization


3 581, 135, 675, 490, 513
3 581, 45, 225, 490, 171
3 581, 15, 75, 490, 57
5 581, 5, 25, 490, 19
7 581, 1, 5, 98, 19
83, 1, 5, 14, 19

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

3 x 3 x 3 x 5 x 7 x 83 x 1 x 5 x 14 x 19 = 104318550

Therefore, the lowest common multiple of 581,135,675,490,513 is 104318550.

LCM Formula to Find Lowest Common Multiple of 581,135,675,490,513

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.

581 x 135 x 675 x 490 x 513 = 13308439016250

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.

581 : 1, 7, 83, 581

135 : 1, 3, 5, 9, 15, 27, 45, 135

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,135,675,490,513, is 1.

Now, the common factors can be found like this.

581:7x 83

135:3x 3x 3x 5

675:3x 3x 3x 5x 5

490:2x 5x 7x 7

513:3x 3x 3x 19

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

3x 3x 3x 3x 3x 3x 5x 5x 7 = 127575

Therefore, the value for common factors is 127575.

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 = 13308439016250/(1x127575)

LCM = 13308439016250/127575

LCM = 104318550

Thus, we can understand that the LCM of 581,135,675,490,513 is 104318550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 581, 135, 675, 490, 513

1. What is the LCM of 581, 135, 675, 490, 513?

Answer: LCM of 581, 135, 675, 490, 513 is 104318550.

2. How to calculate the LCM of 581, 135, 675, 490, 513?

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 581, 135, 675, 490, 513.

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}.