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LCM of 206, 206, 927, 107, 707

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


Find the LCM of 206, 206, 927, 107, 707 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 206, 206, 927, 107, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,206,927,107,707

Given numbers are 206,206,927,107,707

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

The LCM of 206,206,927,107,707 is 140253246.

Find LCM of 206,206,927,107,707 with Prime Factorization


2 206, 206, 927, 107, 707
103 103, 103, 927, 107, 707
1, 1, 9, 107, 707

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

2 x 103 x 1 x 1 x 9 x 107 x 707 = 140253246

Therefore, the lowest common multiple of 206,206,927,107,707 is 140253246.

LCM Formula to Find Lowest Common Multiple of 206,206,927,107,707

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.

206 x 206 x 927 x 107 x 707 = 2975893373628

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.

206 : 1, 2, 103, 206

206 : 1, 2, 103, 206

927 : 1, 3, 9, 103, 309, 927

107 : 1, 107

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,206,927,107,707, is 1.

Now, the common factors can be found like this.

206:2x 103

206:2x 103

927:3x 3x 103

107:107

707:7x 101

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

2x 103x 103 = 21218

Therefore, the value for common factors is 21218.

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 = 2975893373628/(1x21218)

LCM = 2975893373628/21218

LCM = 140253246

Thus, we can understand that the LCM of 206,206,927,107,707 is 140253246.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 206, 927, 107, 707

1. What is the LCM of 206, 206, 927, 107, 707?

Answer: LCM of 206, 206, 927, 107, 707 is 140253246.

2. How to calculate the LCM of 206, 206, 927, 107, 707?

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 206, 206, 927, 107, 707.

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}.