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LCM of 561, 401, 325, 556, 994

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


Find the LCM of 561, 401, 325, 556, 994 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, 401, 325, 556, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,401,325,556,994

Given numbers are 561,401,325,556,994

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

The LCM of 561,401,325,556,994 is 20203274991900.

Find LCM of 561,401,325,556,994 with Prime Factorization


2 561, 401, 325, 556, 994
561, 401, 325, 278, 497

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

2 x 561 x 401 x 325 x 278 x 497 = 20203274991900

Therefore, the lowest common multiple of 561,401,325,556,994 is 20203274991900.

LCM Formula to Find Lowest Common Multiple of 561,401,325,556,994

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 401 x 325 x 556 x 994 = 40406549983800

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

401 : 1, 401

325 : 1, 5, 13, 25, 65, 325

556 : 1, 2, 4, 139, 278, 556

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,401,325,556,994, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

401:401

325:5x 5x 13

556:2x 2x 139

994:2x 7x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 40406549983800/(1x2)

LCM = 40406549983800/2

LCM = 20203274991900

Thus, we can understand that the LCM of 561,401,325,556,994 is 20203274991900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 401, 325, 556, 994

1. What is the LCM of 561, 401, 325, 556, 994?

Answer: LCM of 561, 401, 325, 556, 994 is 20203274991900.

2. How to calculate the LCM of 561, 401, 325, 556, 994?

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, 401, 325, 556, 994.

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}.