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LCM of 534, 519, 669, 585

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


Find the LCM of 534, 519, 669, 585 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 534, 519, 669, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,519,669,585

Given numbers are 534,519,669,585

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

The LCM of 534,519,669,585 is 4017231270.

Find LCM of 534,519,669,585 with Prime Factorization


3 534, 519, 669, 585
178, 173, 223, 195

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

3 x 178 x 173 x 223 x 195 = 4017231270

Therefore, the lowest common multiple of 534,519,669,585 is 4017231270.

LCM Formula to Find Lowest Common Multiple of 534,519,669,585

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.

534 x 519 x 669 x 585 = 108465244290

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.

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

519 : 1, 3, 173, 519

669 : 1, 3, 223, 669

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,519,669,585, is 3.

Now, the common factors can be found like this.

534:2x 3x 89

519:3x 173

669:3x 223

585:3x 3x 5x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 108465244290/(3x9)

LCM = 108465244290/27

LCM = 4017231270

Thus, we can understand that the LCM of 534,519,669,585 is 4017231270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 534, 519, 669, 585

1. What is the LCM of 534, 519, 669, 585?

Answer: LCM of 534, 519, 669, 585 is 4017231270.

2. How to calculate the LCM of 534, 519, 669, 585?

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 534, 519, 669, 585.

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}.