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LCM of 484, 841, 646, 569

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


Find the LCM of 484, 841, 646, 569 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, 841, 646, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,841,646,569

Given numbers are 484,841,646,569

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

The LCM of 484,841,646,569 is 74809395628.

Find LCM of 484,841,646,569 with Prime Factorization


2 484, 841, 646, 569
242, 841, 323, 569

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

2 x 242 x 841 x 323 x 569 = 74809395628

Therefore, the lowest common multiple of 484,841,646,569 is 74809395628.

LCM Formula to Find Lowest Common Multiple of 484,841,646,569

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 841 x 646 x 569 = 149618791256

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

841 : 1, 29, 841

646 : 1, 2, 17, 19, 34, 38, 323, 646

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,841,646,569, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

841:29x 29

646:2x 17x 19

569:569

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 = 149618791256/(1x2)

LCM = 149618791256/2

LCM = 74809395628

Thus, we can understand that the LCM of 484,841,646,569 is 74809395628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 841, 646, 569

1. What is the LCM of 484, 841, 646, 569?

Answer: LCM of 484, 841, 646, 569 is 74809395628.

2. How to calculate the LCM of 484, 841, 646, 569?

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, 841, 646, 569.

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}.