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LCM of 484, 660, 388, 669, 323

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


Find the LCM of 484, 660, 388, 669, 323 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, 660, 388, 669, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,660,388,669,323

Given numbers are 484,660,388,669,323

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

The LCM of 484,660,388,669,323 is 50724262380.

Find LCM of 484,660,388,669,323 with Prime Factorization


2 484, 660, 388, 669, 323
2 242, 330, 194, 669, 323
3 121, 165, 97, 669, 323
11 121, 55, 97, 223, 323
11, 5, 97, 223, 323

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

2 x 2 x 3 x 11 x 11 x 5 x 97 x 223 x 323 = 50724262380

Therefore, the lowest common multiple of 484,660,388,669,323 is 50724262380.

LCM Formula to Find Lowest Common Multiple of 484,660,388,669,323

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 660 x 388 x 669 x 323 = 26782410536640

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

388 : 1, 2, 4, 97, 194, 388

669 : 1, 3, 223, 669

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,660,388,669,323, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

660:2x 2x 3x 5x 11

388:2x 2x 97

669:3x 223

323:17x 19

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

2x 2x 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 26782410536640/(1x528)

LCM = 26782410536640/528

LCM = 50724262380

Thus, we can understand that the LCM of 484,660,388,669,323 is 50724262380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 660, 388, 669, 323

1. What is the LCM of 484, 660, 388, 669, 323?

Answer: LCM of 484, 660, 388, 669, 323 is 50724262380.

2. How to calculate the LCM of 484, 660, 388, 669, 323?

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, 660, 388, 669, 323.

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}.