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LCM of 514, 580, 885

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


Find the LCM of 514, 580, 885 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 514, 580, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,580,885

Given numbers are 514,580,885

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

The LCM of 514,580,885 is 26383620.

Find LCM of 514,580,885 with Prime Factorization


2 514, 580, 885
5 257, 290, 885
257, 58, 177

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

2 x 5 x 257 x 58 x 177 = 26383620

Therefore, the lowest common multiple of 514,580,885 is 26383620.

LCM Formula to Find Lowest Common Multiple of 514,580,885

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.

514 x 580 x 885 = 263836200

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.

514 : 1, 2, 257, 514

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,580,885, is 1.

Now, the common factors can be found like this.

514:2x 257

580:2x 2x 5x 29

885:3x 5x 59

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 263836200/(1x10)

LCM = 263836200/10

LCM = 26383620

Thus, we can understand that the LCM of 514,580,885 is 26383620.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 514, 580, 885

1. What is the LCM of 514, 580, 885?

Answer: LCM of 514, 580, 885 is 26383620.

2. How to calculate the LCM of 514, 580, 885?

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 514, 580, 885.

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}.