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LCM of 530, 410, 586, 791

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


Find the LCM of 530, 410, 586, 791 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 530, 410, 586, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,410,586,791

Given numbers are 530,410,586,791

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

The LCM of 530,410,586,791 is 5036209990.

Find LCM of 530,410,586,791 with Prime Factorization


2 530, 410, 586, 791
5 265, 205, 293, 791
53, 41, 293, 791

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

2 x 5 x 53 x 41 x 293 x 791 = 5036209990

Therefore, the lowest common multiple of 530,410,586,791 is 5036209990.

LCM Formula to Find Lowest Common Multiple of 530,410,586,791

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.

530 x 410 x 586 x 791 = 100724199800

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

410 : 1, 2, 5, 10, 41, 82, 205, 410

586 : 1, 2, 293, 586

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,410,586,791, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

410:2x 5x 41

586:2x 293

791:7x 113

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 5 = 20

Therefore, the value for common factors is 20.

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 = 100724199800/(1x20)

LCM = 100724199800/20

LCM = 5036209990

Thus, we can understand that the LCM of 530,410,586,791 is 5036209990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 410, 586, 791

1. What is the LCM of 530, 410, 586, 791?

Answer: LCM of 530, 410, 586, 791 is 5036209990.

2. How to calculate the LCM of 530, 410, 586, 791?

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 530, 410, 586, 791.

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}.