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LCM of 566, 646, 779, 610

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


Find the LCM of 566, 646, 779, 610 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 566, 646, 779, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,646,779,610

Given numbers are 566,646,779,610

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

The LCM of 566,646,779,610 is 2286139090.

Find LCM of 566,646,779,610 with Prime Factorization


2 566, 646, 779, 610
19 283, 323, 779, 305
283, 17, 41, 305

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

2 x 19 x 283 x 17 x 41 x 305 = 2286139090

Therefore, the lowest common multiple of 566,646,779,610 is 2286139090.

LCM Formula to Find Lowest Common Multiple of 566,646,779,610

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.

566 x 646 x 779 x 610 = 173746570840

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.

566 : 1, 2, 283, 566

646 : 1, 2, 17, 19, 34, 38, 323, 646

779 : 1, 19, 41, 779

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,646,779,610, is 1.

Now, the common factors can be found like this.

566:2x 283

646:2x 17x 19

779:19x 41

610:2x 5x 61

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 19 = 76

Therefore, the value for common factors is 76.

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 = 173746570840/(1x76)

LCM = 173746570840/76

LCM = 2286139090

Thus, we can understand that the LCM of 566,646,779,610 is 2286139090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 646, 779, 610

1. What is the LCM of 566, 646, 779, 610?

Answer: LCM of 566, 646, 779, 610 is 2286139090.

2. How to calculate the LCM of 566, 646, 779, 610?

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 566, 646, 779, 610.

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}.