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LCM of 561, 213, 958, 561

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


Find the LCM of 561, 213, 958, 561 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 561, 213, 958, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,213,958,561

Given numbers are 561,213,958,561

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

The LCM of 561,213,958,561 is 38158098.

Find LCM of 561,213,958,561 with Prime Factorization


3 561, 213, 958, 561
11 187, 71, 958, 187
17 17, 71, 958, 17
1, 71, 958, 1

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

3 x 11 x 17 x 1 x 71 x 958 x 1 = 38158098

Therefore, the lowest common multiple of 561,213,958,561 is 38158098.

LCM Formula to Find Lowest Common Multiple of 561,213,958,561

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.

561 x 213 x 958 x 561 = 64220078934

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

213 : 1, 3, 71, 213

958 : 1, 2, 479, 958

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,213,958,561, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

213:3x 71

958:2x 479

561:3x 11x 17

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

3x 3x 11x 17 = 1683

Therefore, the value for common factors is 1683.

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 = 64220078934/(1x1683)

LCM = 64220078934/1683

LCM = 38158098

Thus, we can understand that the LCM of 561,213,958,561 is 38158098.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 213, 958, 561

1. What is the LCM of 561, 213, 958, 561?

Answer: LCM of 561, 213, 958, 561 is 38158098.

2. How to calculate the LCM of 561, 213, 958, 561?

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 561, 213, 958, 561.

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}.