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LCM of 484, 627, 891, 569, 133

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


Find the LCM of 484, 627, 891, 569, 133 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 484, 627, 891, 569, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,627,891,569,133

Given numbers are 484,627,891,569,133

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

The LCM of 484,627,891,569,133 is 2966841108.

Find LCM of 484,627,891,569,133 with Prime Factorization


3 484, 627, 891, 569, 133
11 484, 209, 297, 569, 133
19 44, 19, 27, 569, 133
44, 1, 27, 569, 7

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

3 x 11 x 19 x 44 x 1 x 27 x 569 x 7 = 2966841108

Therefore, the lowest common multiple of 484,627,891,569,133 is 2966841108.

LCM Formula to Find Lowest Common Multiple of 484,627,891,569,133

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.

484 x 627 x 891 x 569 x 133 = 20462303121876

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

627 : 1, 3, 11, 19, 33, 57, 209, 627

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

569 : 1, 569

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,627,891,569,133, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

627:3x 11x 19

891:3x 3x 3x 3x 11

569:569

133:7x 19

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

3x 11x 11x 19 = 6897

Therefore, the value for common factors is 6897.

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 = 20462303121876/(1x6897)

LCM = 20462303121876/6897

LCM = 2966841108

Thus, we can understand that the LCM of 484,627,891,569,133 is 2966841108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 627, 891, 569, 133

1. What is the LCM of 484, 627, 891, 569, 133?

Answer: LCM of 484, 627, 891, 569, 133 is 2966841108.

2. How to calculate the LCM of 484, 627, 891, 569, 133?

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 484, 627, 891, 569, 133.

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}.