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LCM of 382, 899, 279, 894, 909

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


Find the LCM of 382, 899, 279, 894, 909 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 382, 899, 279, 894, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,899,279,894,909

Given numbers are 382,899,279,894,909

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

The LCM of 382,899,279,894,909 is 46512877338.

Find LCM of 382,899,279,894,909 with Prime Factorization


2 382, 899, 279, 894, 909
3 191, 899, 279, 447, 909
3 191, 899, 93, 149, 303
31 191, 899, 31, 149, 101
191, 29, 1, 149, 101

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

2 x 3 x 3 x 31 x 191 x 29 x 1 x 149 x 101 = 46512877338

Therefore, the lowest common multiple of 382,899,279,894,909 is 46512877338.

LCM Formula to Find Lowest Common Multiple of 382,899,279,894,909

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.

382 x 899 x 279 x 894 x 909 = 77862556663812

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.

382 : 1, 2, 191, 382

899 : 1, 29, 31, 899

279 : 1, 3, 9, 31, 93, 279

894 : 1, 2, 3, 6, 149, 298, 447, 894

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,899,279,894,909, is 1.

Now, the common factors can be found like this.

382:2x 191

899:29x 31

279:3x 3x 31

894:2x 3x 149

909:3x 3x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 31 = 1674

Therefore, the value for common factors is 1674.

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 = 77862556663812/(1x1674)

LCM = 77862556663812/1674

LCM = 46512877338

Thus, we can understand that the LCM of 382,899,279,894,909 is 46512877338.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 899, 279, 894, 909

1. What is the LCM of 382, 899, 279, 894, 909?

Answer: LCM of 382, 899, 279, 894, 909 is 46512877338.

2. How to calculate the LCM of 382, 899, 279, 894, 909?

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 382, 899, 279, 894, 909.

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}.