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LCM of 566, 507, 352, 403, 279

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


Find the LCM of 566, 507, 352, 403, 279 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 566, 507, 352, 403, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,507,352,403,279

Given numbers are 566,507,352,403,279

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

The LCM of 566,507,352,403,279 is 4696994016.

Find LCM of 566,507,352,403,279 with Prime Factorization


2 566, 507, 352, 403, 279
3 283, 507, 176, 403, 279
13 283, 169, 176, 403, 93
31 283, 13, 176, 31, 93
283, 13, 176, 1, 3

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

2 x 3 x 13 x 31 x 283 x 13 x 176 x 1 x 3 = 4696994016

Therefore, the lowest common multiple of 566,507,352,403,279 is 4696994016.

LCM Formula to Find Lowest Common Multiple of 566,507,352,403,279

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.

566 x 507 x 352 x 403 x 279 = 11357331530688

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.

566 : 1, 2, 283, 566

507 : 1, 3, 13, 39, 169, 507

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

403 : 1, 13, 31, 403

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,507,352,403,279, is 1.

Now, the common factors can be found like this.

566:2x 283

507:3x 13x 13

352:2x 2x 2x 2x 2x 11

403:13x 31

279:3x 3x 31

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

2x 3x 13x 31 = 2418

Therefore, the value for common factors is 2418.

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 = 11357331530688/(1x2418)

LCM = 11357331530688/2418

LCM = 4696994016

Thus, we can understand that the LCM of 566,507,352,403,279 is 4696994016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 507, 352, 403, 279

1. What is the LCM of 566, 507, 352, 403, 279?

Answer: LCM of 566, 507, 352, 403, 279 is 4696994016.

2. How to calculate the LCM of 566, 507, 352, 403, 279?

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 566, 507, 352, 403, 279.

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}.