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LCM of 491, 561, 100, 205, 566

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


Find the LCM of 491, 561, 100, 205, 566 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 491, 561, 100, 205, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,561,100,205,566

Given numbers are 491,561,100,205,566

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

The LCM of 491,561,100,205,566 is 319605795300.

Find LCM of 491,561,100,205,566 with Prime Factorization


2 491, 561, 100, 205, 566
5 491, 561, 50, 205, 283
491, 561, 10, 41, 283

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

2 x 5 x 491 x 561 x 10 x 41 x 283 = 319605795300

Therefore, the lowest common multiple of 491,561,100,205,566 is 319605795300.

LCM Formula to Find Lowest Common Multiple of 491,561,100,205,566

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.

491 x 561 x 100 x 205 x 566 = 3196057953000

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.

491 : 1, 491

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

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

205 : 1, 5, 41, 205

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,561,100,205,566, is 1.

Now, the common factors can be found like this.

491:491

561:3x 11x 17

100:2x 2x 5x 5

205:5x 41

566:2x 283

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 3196057953000/(1x10)

LCM = 3196057953000/10

LCM = 319605795300

Thus, we can understand that the LCM of 491,561,100,205,566 is 319605795300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 561, 100, 205, 566

1. What is the LCM of 491, 561, 100, 205, 566?

Answer: LCM of 491, 561, 100, 205, 566 is 319605795300.

2. How to calculate the LCM of 491, 561, 100, 205, 566?

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 491, 561, 100, 205, 566.

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}.