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LCM of 610, 793, 195, 777

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


Find the LCM of 610, 793, 195, 777 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 610, 793, 195, 777. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,793,195,777

Given numbers are 610,793,195,777

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

The LCM of 610,793,195,777 is 6161610.

Find LCM of 610,793,195,777 with Prime Factorization


3 610, 793, 195, 777
5 610, 793, 65, 259
13 122, 793, 13, 259
61 122, 61, 1, 259
2, 1, 1, 259

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

3 x 5 x 13 x 61 x 2 x 1 x 1 x 259 = 6161610

Therefore, the lowest common multiple of 610,793,195,777 is 6161610.

LCM Formula to Find Lowest Common Multiple of 610,793,195,777

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.

610 x 793 x 195 x 777 = 73292350950

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.

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

793 : 1, 13, 61, 793

195 : 1, 3, 5, 13, 15, 39, 65, 195

777 : 1, 3, 7, 21, 37, 111, 259, 777

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,793,195,777, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

793:13x 61

195:3x 5x 13

777:3x 7x 37

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 13x 61 = 11895

Therefore, the value for common factors is 11895.

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 = 73292350950/(1x11895)

LCM = 73292350950/11895

LCM = 6161610

Thus, we can understand that the LCM of 610,793,195,777 is 6161610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 793, 195, 777

1. What is the LCM of 610, 793, 195, 777?

Answer: LCM of 610, 793, 195, 777 is 6161610.

2. How to calculate the LCM of 610, 793, 195, 777?

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 610, 793, 195, 777.

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}.