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LCM of 863, 289, 408, 872

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


Find the LCM of 863, 289, 408, 872 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 863, 289, 408, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,289,408,872

Given numbers are 863,289,408,872

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

The LCM of 863,289,408,872 is 652448712.

Find LCM of 863,289,408,872 with Prime Factorization


2 863, 289, 408, 872
2 863, 289, 204, 436
2 863, 289, 102, 218
17 863, 289, 51, 109
863, 17, 3, 109

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

2 x 2 x 2 x 17 x 863 x 17 x 3 x 109 = 652448712

Therefore, the lowest common multiple of 863,289,408,872 is 652448712.

LCM Formula to Find Lowest Common Multiple of 863,289,408,872

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.

863 x 289 x 408 x 872 = 88733024832

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.

863 : 1, 863

289 : 1, 17, 289

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,289,408,872, is 1.

Now, the common factors can be found like this.

863:863

289:17x 17

408:2x 2x 2x 3x 17

872:2x 2x 2x 109

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 17 = 136

Therefore, the value for common factors is 136.

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 = 88733024832/(1x136)

LCM = 88733024832/136

LCM = 652448712

Thus, we can understand that the LCM of 863,289,408,872 is 652448712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 289, 408, 872

1. What is the LCM of 863, 289, 408, 872?

Answer: LCM of 863, 289, 408, 872 is 652448712.

2. How to calculate the LCM of 863, 289, 408, 872?

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 863, 289, 408, 872.

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}.