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LCM of 329, 204, 192, 799

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


Find the LCM of 329, 204, 192, 799 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 329, 204, 192, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 329,204,192,799

Given numbers are 329,204,192,799

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

The LCM of 329,204,192,799 is 1073856.

Find LCM of 329,204,192,799 with Prime Factorization


2 329, 204, 192, 799
2 329, 102, 96, 799
3 329, 51, 48, 799
17 329, 17, 16, 799
47 329, 1, 16, 47
7, 1, 16, 1

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

2 x 2 x 3 x 17 x 47 x 7 x 1 x 16 x 1 = 1073856

Therefore, the lowest common multiple of 329,204,192,799 is 1073856.

LCM Formula to Find Lowest Common Multiple of 329,204,192,799

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.

329 x 204 x 192 x 799 = 10296131328

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.

329 : 1, 7, 47, 329

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,204,192,799, is 1.

Now, the common factors can be found like this.

329:7x 47

204:2x 2x 3x 17

192:2x 2x 2x 2x 2x 2x 3

799:17x 47

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 3x 17x 47 = 9588

Therefore, the value for common factors is 9588.

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 = 10296131328/(1x9588)

LCM = 10296131328/9588

LCM = 1073856

Thus, we can understand that the LCM of 329,204,192,799 is 1073856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 329, 204, 192, 799

1. What is the LCM of 329, 204, 192, 799?

Answer: LCM of 329, 204, 192, 799 is 1073856.

2. How to calculate the LCM of 329, 204, 192, 799?

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 329, 204, 192, 799.

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}.