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LCM of 927, 531, 548, 206, 191

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


Find the LCM of 927, 531, 548, 206, 191 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 927, 531, 548, 206, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,531,548,206,191

Given numbers are 927,531,548,206,191

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

The LCM of 927,531,548,206,191 is 5724606924.

Find LCM of 927,531,548,206,191 with Prime Factorization


2 927, 531, 548, 206, 191
3 927, 531, 274, 103, 191
3 309, 177, 274, 103, 191
103 103, 59, 274, 103, 191
1, 59, 274, 1, 191

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

2 x 3 x 3 x 103 x 1 x 59 x 274 x 1 x 191 = 5724606924

Therefore, the lowest common multiple of 927,531,548,206,191 is 5724606924.

LCM Formula to Find Lowest Common Multiple of 927,531,548,206,191

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.

927 x 531 x 548 x 206 x 191 = 10613421237096

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.

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

531 : 1, 3, 9, 59, 177, 531

548 : 1, 2, 4, 137, 274, 548

206 : 1, 2, 103, 206

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,531,548,206,191, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

531:3x 3x 59

548:2x 2x 137

206:2x 103

191:191

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

2x 3x 3x 103 = 1854

Therefore, the value for common factors is 1854.

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 = 10613421237096/(1x1854)

LCM = 10613421237096/1854

LCM = 5724606924

Thus, we can understand that the LCM of 927,531,548,206,191 is 5724606924.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 531, 548, 206, 191

1. What is the LCM of 927, 531, 548, 206, 191?

Answer: LCM of 927, 531, 548, 206, 191 is 5724606924.

2. How to calculate the LCM of 927, 531, 548, 206, 191?

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 927, 531, 548, 206, 191.

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}.