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LCM of 305, 908, 939, 892

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


Find the LCM of 305, 908, 939, 892 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 305, 908, 939, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,908,939,892

Given numbers are 305,908,939,892

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

The LCM of 305,908,939,892 is 57990405180.

Find LCM of 305,908,939,892 with Prime Factorization


2 305, 908, 939, 892
2 305, 454, 939, 446
305, 227, 939, 223

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

2 x 2 x 305 x 227 x 939 x 223 = 57990405180

Therefore, the lowest common multiple of 305,908,939,892 is 57990405180.

LCM Formula to Find Lowest Common Multiple of 305,908,939,892

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.

305 x 908 x 939 x 892 = 231961620720

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.

305 : 1, 5, 61, 305

908 : 1, 2, 4, 227, 454, 908

939 : 1, 3, 313, 939

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,908,939,892, is 1.

Now, the common factors can be found like this.

305:5x 61

908:2x 2x 227

939:3x 313

892:2x 2x 223

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 231961620720/(1x4)

LCM = 231961620720/4

LCM = 57990405180

Thus, we can understand that the LCM of 305,908,939,892 is 57990405180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 908, 939, 892

1. What is the LCM of 305, 908, 939, 892?

Answer: LCM of 305, 908, 939, 892 is 57990405180.

2. How to calculate the LCM of 305, 908, 939, 892?

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 305, 908, 939, 892.

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}.