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LCM of 439, 554, 446, 448, 853

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


Find the LCM of 439, 554, 446, 448, 853 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, 554, 446, 448, 853. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,554,446,448,853

Given numbers are 439,554,446,448,853

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

The LCM of 439,554,446,448,853 is 10362778073536.

Find LCM of 439,554,446,448,853 with Prime Factorization


2 439, 554, 446, 448, 853
439, 277, 223, 224, 853

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

2 x 439 x 277 x 223 x 224 x 853 = 10362778073536

Therefore, the lowest common multiple of 439,554,446,448,853 is 10362778073536.

LCM Formula to Find Lowest Common Multiple of 439,554,446,448,853

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 554 x 446 x 448 x 853 = 41451112294144

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

554 : 1, 2, 277, 554

446 : 1, 2, 223, 446

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,554,446,448,853, is 1.

Now, the common factors can be found like this.

439:439

554:2x 277

446:2x 223

448:2x 2x 2x 2x 2x 2x 7

853:853

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 = 41451112294144/(1x4)

LCM = 41451112294144/4

LCM = 10362778073536

Thus, we can understand that the LCM of 439,554,446,448,853 is 10362778073536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 554, 446, 448, 853

1. What is the LCM of 439, 554, 446, 448, 853?

Answer: LCM of 439, 554, 446, 448, 853 is 10362778073536.

2. How to calculate the LCM of 439, 554, 446, 448, 853?

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, 554, 446, 448, 853.

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}.