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LCM of 576, 592, 872, 160, 382

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


Find the LCM of 576, 592, 872, 160, 382 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 576, 592, 872, 160, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 576,592,872,160,382

Given numbers are 576,592,872,160,382

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

The LCM of 576,592,872,160,382 is 2218472640.

Find LCM of 576,592,872,160,382 with Prime Factorization


2 576, 592, 872, 160, 382
2 288, 296, 436, 80, 191
2 144, 148, 218, 40, 191
2 72, 74, 109, 20, 191
2 36, 37, 109, 10, 191
18, 37, 109, 5, 191

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

2 x 2 x 2 x 2 x 2 x 18 x 37 x 109 x 5 x 191 = 2218472640

Therefore, the lowest common multiple of 576,592,872,160,382 is 2218472640.

LCM Formula to Find Lowest Common Multiple of 576,592,872,160,382

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.

576 x 592 x 872 x 160 x 382 = 18173727866880

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

872 : 1, 2, 4, 8, 109, 218, 436, 872

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

382 : 1, 2, 191, 382

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,592,872,160,382, is 2.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

592:2x 2x 2x 2x 37

872:2x 2x 2x 109

160:2x 2x 2x 2x 2x 5

382:2x 191

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 2x 2x 2x 2x 2 = 4096

Therefore, the value for common factors is 4096.

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 = 18173727866880/(2x4096)

LCM = 18173727866880/8192

LCM = 2218472640

Thus, we can understand that the LCM of 576,592,872,160,382 is 2218472640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 576, 592, 872, 160, 382

1. What is the LCM of 576, 592, 872, 160, 382?

Answer: LCM of 576, 592, 872, 160, 382 is 2218472640.

2. How to calculate the LCM of 576, 592, 872, 160, 382?

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 576, 592, 872, 160, 382.

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}.