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LCM of 864, 448, 413

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


Find the LCM of 864, 448, 413 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 864, 448, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,448,413

Given numbers are 864,448,413

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

The LCM of 864,448,413 is 713664.

Find LCM of 864,448,413 with Prime Factorization


2 864, 448, 413
2 432, 224, 413
2 216, 112, 413
2 108, 56, 413
2 54, 28, 413
7 27, 14, 413
27, 2, 59

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

2 x 2 x 2 x 2 x 2 x 7 x 27 x 2 x 59 = 713664

Therefore, the lowest common multiple of 864,448,413 is 713664.

LCM Formula to Find Lowest Common Multiple of 864,448,413

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.

864 x 448 x 413 = 159860736

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,448,413, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

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

413:7x 59

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 7 = 224

Therefore, the value for common factors is 224.

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 = 159860736/(1x224)

LCM = 159860736/224

LCM = 713664

Thus, we can understand that the LCM of 864,448,413 is 713664.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 864, 448, 413

1. What is the LCM of 864, 448, 413?

Answer: LCM of 864, 448, 413 is 713664.

2. How to calculate the LCM of 864, 448, 413?

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 864, 448, 413.

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}.