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LCM of 439, 528, 378, 464, 484

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


Find the LCM of 439, 528, 378, 464, 484 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 439, 528, 378, 464, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,528,378,464,484

Given numbers are 439,528,378,464,484

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

The LCM of 439,528,378,464,484 is 4658323824.

Find LCM of 439,528,378,464,484 with Prime Factorization


2 439, 528, 378, 464, 484
2 439, 264, 189, 232, 242
2 439, 132, 189, 116, 121
2 439, 66, 189, 58, 121
3 439, 33, 189, 29, 121
11 439, 11, 63, 29, 121
439, 1, 63, 29, 11

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

2 x 2 x 2 x 2 x 3 x 11 x 439 x 1 x 63 x 29 x 11 = 4658323824

Therefore, the lowest common multiple of 439,528,378,464,484 is 4658323824.

LCM Formula to Find Lowest Common Multiple of 439,528,378,464,484

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.

439 x 528 x 378 x 464 x 484 = 19676759832576

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.

439 : 1, 439

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,528,378,464,484, is 1.

Now, the common factors can be found like this.

439:439

528:2x 2x 2x 2x 3x 11

378:2x 3x 3x 3x 7

464:2x 2x 2x 2x 29

484:2x 2x 11x 11

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 2x 2x 2x 3x 11 = 4224

Therefore, the value for common factors is 4224.

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 = 19676759832576/(1x4224)

LCM = 19676759832576/4224

LCM = 4658323824

Thus, we can understand that the LCM of 439,528,378,464,484 is 4658323824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 528, 378, 464, 484

1. What is the LCM of 439, 528, 378, 464, 484?

Answer: LCM of 439, 528, 378, 464, 484 is 4658323824.

2. How to calculate the LCM of 439, 528, 378, 464, 484?

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 439, 528, 378, 464, 484.

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}.