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LCM of 454, 283, 195, 908

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


Find the LCM of 454, 283, 195, 908 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 454, 283, 195, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,283,195,908

Given numbers are 454,283,195,908

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

The LCM of 454,283,195,908 is 50107980.

Find LCM of 454,283,195,908 with Prime Factorization


2 454, 283, 195, 908
227 227, 283, 195, 454
1, 283, 195, 2

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

2 x 227 x 1 x 283 x 195 x 2 = 50107980

Therefore, the lowest common multiple of 454,283,195,908 is 50107980.

LCM Formula to Find Lowest Common Multiple of 454,283,195,908

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.

454 x 283 x 195 x 908 = 22749022920

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.

454 : 1, 2, 227, 454

283 : 1, 283

195 : 1, 3, 5, 13, 15, 39, 65, 195

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,283,195,908, is 1.

Now, the common factors can be found like this.

454:2x 227

283:283

195:3x 5x 13

908:2x 2x 227

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

2x 227 = 454

Therefore, the value for common factors is 454.

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 = 22749022920/(1x454)

LCM = 22749022920/454

LCM = 50107980

Thus, we can understand that the LCM of 454,283,195,908 is 50107980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 283, 195, 908

1. What is the LCM of 454, 283, 195, 908?

Answer: LCM of 454, 283, 195, 908 is 50107980.

2. How to calculate the LCM of 454, 283, 195, 908?

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 454, 283, 195, 908.

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}.