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LCM of 530, 566, 382, 588

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


Find the LCM of 530, 566, 382, 588 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, 566, 382, 588. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,566,382,588

Given numbers are 530,566,382,588

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

The LCM of 530,566,382,588 is 8422538460.

Find LCM of 530,566,382,588 with Prime Factorization


2 530, 566, 382, 588
265, 283, 191, 294

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

2 x 265 x 283 x 191 x 294 = 8422538460

Therefore, the lowest common multiple of 530,566,382,588 is 8422538460.

LCM Formula to Find Lowest Common Multiple of 530,566,382,588

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 566 x 382 x 588 = 67380307680

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

566 : 1, 2, 283, 566

382 : 1, 2, 191, 382

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,566,382,588, is 2.

Now, the common factors can be found like this.

530:2x 5x 53

566:2x 283

382:2x 191

588:2x 2x 3x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 67380307680/(2x4)

LCM = 67380307680/8

LCM = 8422538460

Thus, we can understand that the LCM of 530,566,382,588 is 8422538460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 566, 382, 588

1. What is the LCM of 530, 566, 382, 588?

Answer: LCM of 530, 566, 382, 588 is 8422538460.

2. How to calculate the LCM of 530, 566, 382, 588?

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, 566, 382, 588.

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}.