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LCM of 561, 408, 567, 951

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


Find the LCM of 561, 408, 567, 951 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, 408, 567, 951. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,408,567,951

Given numbers are 561,408,567,951

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

The LCM of 561,408,567,951 is 268889544.

Find LCM of 561,408,567,951 with Prime Factorization


3 561, 408, 567, 951
17 187, 136, 189, 317
11, 8, 189, 317

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

3 x 17 x 11 x 8 x 189 x 317 = 268889544

Therefore, the lowest common multiple of 561,408,567,951 is 268889544.

LCM Formula to Find Lowest Common Multiple of 561,408,567,951

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 408 x 567 x 951 = 123420300696

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

951 : 1, 3, 317, 951

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,408,567,951, is 3.

Now, the common factors can be found like this.

561:3x 11x 17

408:2x 2x 2x 3x 17

567:3x 3x 3x 3x 7

951:3x 317

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 17 = 153

Therefore, the value for common factors is 153.

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 = 123420300696/(3x153)

LCM = 123420300696/459

LCM = 268889544

Thus, we can understand that the LCM of 561,408,567,951 is 268889544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 408, 567, 951

1. What is the LCM of 561, 408, 567, 951?

Answer: LCM of 561, 408, 567, 951 is 268889544.

2. How to calculate the LCM of 561, 408, 567, 951?

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, 408, 567, 951.

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}.