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LCM of 305, 557, 650, 825, 819

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


Find the LCM of 305, 557, 650, 825, 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 305, 557, 650, 825, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,557,650,825,819

Given numbers are 305,557,650,825,819

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

The LCM of 305,557,650,825,819 is 15304939650.

Find LCM of 305,557,650,825,819 with Prime Factorization


3 305, 557, 650, 825, 819
5 305, 557, 650, 275, 273
5 61, 557, 130, 55, 273
13 61, 557, 26, 11, 273
61, 557, 2, 11, 21

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

3 x 5 x 5 x 13 x 61 x 557 x 2 x 11 x 21 = 15304939650

Therefore, the lowest common multiple of 305,557,650,825,819 is 15304939650.

LCM Formula to Find Lowest Common Multiple of 305,557,650,825,819

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.

305 x 557 x 650 x 825 x 819 = 74611580793750

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.

305 : 1, 5, 61, 305

557 : 1, 557

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 305,557,650,825,819, is 1.

Now, the common factors can be found like this.

305:5x 61

557:557

650:2x 5x 5x 13

825:3x 5x 5x 11

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.

3x 5x 5x 5x 13 = 4875

Therefore, the value for common factors is 4875.

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 = 74611580793750/(1x4875)

LCM = 74611580793750/4875

LCM = 15304939650

Thus, we can understand that the LCM of 305,557,650,825,819 is 15304939650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 557, 650, 825, 819

1. What is the LCM of 305, 557, 650, 825, 819?

Answer: LCM of 305, 557, 650, 825, 819 is 15304939650.

2. How to calculate the LCM of 305, 557, 650, 825, 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 305, 557, 650, 825, 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}.