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LCM of 561, 794, 136, 571

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


Find the LCM of 561, 794, 136, 571 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, 794, 136, 571. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,794,136,571

Given numbers are 561,794,136,571

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

The LCM of 561,794,136,571 is 1017371256.

Find LCM of 561,794,136,571 with Prime Factorization


2 561, 794, 136, 571
17 561, 397, 68, 571
33, 397, 4, 571

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

2 x 17 x 33 x 397 x 4 x 571 = 1017371256

Therefore, the lowest common multiple of 561,794,136,571 is 1017371256.

LCM Formula to Find Lowest Common Multiple of 561,794,136,571

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 794 x 136 x 571 = 34590622704

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

794 : 1, 2, 397, 794

136 : 1, 2, 4, 8, 17, 34, 68, 136

571 : 1, 571

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,794,136,571, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

794:2x 397

136:2x 2x 2x 17

571:571

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 34590622704/(1x34)

LCM = 34590622704/34

LCM = 1017371256

Thus, we can understand that the LCM of 561,794,136,571 is 1017371256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 794, 136, 571

1. What is the LCM of 561, 794, 136, 571?

Answer: LCM of 561, 794, 136, 571 is 1017371256.

2. How to calculate the LCM of 561, 794, 136, 571?

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, 794, 136, 571.

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}.