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LCM of 819, 208, 561, 187

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


Find the LCM of 819, 208, 561, 187 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 819, 208, 561, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,208,561,187

Given numbers are 819,208,561,187

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

The LCM of 819,208,561,187 is 2450448.

Find LCM of 819,208,561,187 with Prime Factorization


3 819, 208, 561, 187
11 273, 208, 187, 187
13 273, 208, 17, 17
17 21, 16, 17, 17
21, 16, 1, 1

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

3 x 11 x 13 x 17 x 21 x 16 x 1 x 1 = 2450448

Therefore, the lowest common multiple of 819,208,561,187 is 2450448.

LCM Formula to Find Lowest Common Multiple of 819,208,561,187

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.

819 x 208 x 561 x 187 = 17871117264

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.

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

561 : 1, 3, 11, 17, 33, 51, 187, 561

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,208,561,187, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

208:2x 2x 2x 2x 13

561:3x 11x 17

187:11x 17

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

3x 11x 13x 17 = 7293

Therefore, the value for common factors is 7293.

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 = 17871117264/(1x7293)

LCM = 17871117264/7293

LCM = 2450448

Thus, we can understand that the LCM of 819,208,561,187 is 2450448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 208, 561, 187

1. What is the LCM of 819, 208, 561, 187?

Answer: LCM of 819, 208, 561, 187 is 2450448.

2. How to calculate the LCM of 819, 208, 561, 187?

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 819, 208, 561, 187.

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}.