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LCM of 484, 658, 355, 578

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


Find the LCM of 484, 658, 355, 578 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, 658, 355, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,658,355,578

Given numbers are 484,658,355,578

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

The LCM of 484,658,355,578 is 16336817420.

Find LCM of 484,658,355,578 with Prime Factorization


2 484, 658, 355, 578
242, 329, 355, 289

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

2 x 242 x 329 x 355 x 289 = 16336817420

Therefore, the lowest common multiple of 484,658,355,578 is 16336817420.

LCM Formula to Find Lowest Common Multiple of 484,658,355,578

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 658 x 355 x 578 = 65347269680

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

355 : 1, 5, 71, 355

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,658,355,578, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

658:2x 7x 47

355:5x 71

578:2x 17x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 65347269680/(1x4)

LCM = 65347269680/4

LCM = 16336817420

Thus, we can understand that the LCM of 484,658,355,578 is 16336817420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 658, 355, 578

1. What is the LCM of 484, 658, 355, 578?

Answer: LCM of 484, 658, 355, 578 is 16336817420.

2. How to calculate the LCM of 484, 658, 355, 578?

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, 658, 355, 578.

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}.