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LCM of 209, 570, 204, 534, 579

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


Find the LCM of 209, 570, 204, 534, 579 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 209, 570, 204, 534, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,570,204,534,579

Given numbers are 209,570,204,534,579

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

The LCM of 209,570,204,534,579 is 3661792860.

Find LCM of 209,570,204,534,579 with Prime Factorization


2 209, 570, 204, 534, 579
3 209, 285, 102, 267, 579
19 209, 95, 34, 89, 193
11, 5, 34, 89, 193

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

2 x 3 x 19 x 11 x 5 x 34 x 89 x 193 = 3661792860

Therefore, the lowest common multiple of 209,570,204,534,579 is 3661792860.

LCM Formula to Find Lowest Common Multiple of 209,570,204,534,579

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.

209 x 570 x 204 x 534 x 579 = 7513998948720

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.

209 : 1, 11, 19, 209

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

534 : 1, 2, 3, 6, 89, 178, 267, 534

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,570,204,534,579, is 1.

Now, the common factors can be found like this.

209:11x 19

570:2x 3x 5x 19

204:2x 2x 3x 17

534:2x 3x 89

579:3x 193

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 3x 3x 3x 19 = 2052

Therefore, the value for common factors is 2052.

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 = 7513998948720/(1x2052)

LCM = 7513998948720/2052

LCM = 3661792860

Thus, we can understand that the LCM of 209,570,204,534,579 is 3661792860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 570, 204, 534, 579

1. What is the LCM of 209, 570, 204, 534, 579?

Answer: LCM of 209, 570, 204, 534, 579 is 3661792860.

2. How to calculate the LCM of 209, 570, 204, 534, 579?

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 209, 570, 204, 534, 579.

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}.