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LCM of 514, 810, 197, 384, 819

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


Find the LCM of 514, 810, 197, 384, 819 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, 810, 197, 384, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,810,197,384,819

Given numbers are 514,810,197,384,819

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

The LCM of 514,810,197,384,819 is 238839269760.

Find LCM of 514,810,197,384,819 with Prime Factorization


2 514, 810, 197, 384, 819
3 257, 405, 197, 192, 819
3 257, 135, 197, 64, 273
257, 45, 197, 64, 91

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

2 x 3 x 3 x 257 x 45 x 197 x 64 x 91 = 238839269760

Therefore, the lowest common multiple of 514,810,197,384,819 is 238839269760.

LCM Formula to Find Lowest Common Multiple of 514,810,197,384,819

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 810 x 197 x 384 x 819 = 25794641134080

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

197 : 1, 197

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,810,197,384,819, is 1.

Now, the common factors can be found like this.

514:2x 257

810:2x 3x 3x 3x 3x 5

197:197

384:2x 2x 2x 2x 2x 2x 2x 3

819:3x 3x 7x 13

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 3 = 108

Therefore, the value for common factors is 108.

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 = 25794641134080/(1x108)

LCM = 25794641134080/108

LCM = 238839269760

Thus, we can understand that the LCM of 514,810,197,384,819 is 238839269760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 810, 197, 384, 819

1. What is the LCM of 514, 810, 197, 384, 819?

Answer: LCM of 514, 810, 197, 384, 819 is 238839269760.

2. How to calculate the LCM of 514, 810, 197, 384, 819?

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, 810, 197, 384, 819.

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}.