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LCM of 454, 751, 958, 898

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


Find the LCM of 454, 751, 958, 898 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, 751, 958, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,751,958,898

Given numbers are 454,751,958,898

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

The LCM of 454,751,958,898 is 73329317734.

Find LCM of 454,751,958,898 with Prime Factorization


2 454, 751, 958, 898
227, 751, 479, 449

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

2 x 227 x 751 x 479 x 449 = 73329317734

Therefore, the lowest common multiple of 454,751,958,898 is 73329317734.

LCM Formula to Find Lowest Common Multiple of 454,751,958,898

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 751 x 958 x 898 = 293317270936

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

751 : 1, 751

958 : 1, 2, 479, 958

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,751,958,898, is 1.

Now, the common factors can be found like this.

454:2x 227

751:751

958:2x 479

898:2x 449

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 = 293317270936/(1x4)

LCM = 293317270936/4

LCM = 73329317734

Thus, we can understand that the LCM of 454,751,958,898 is 73329317734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 751, 958, 898

1. What is the LCM of 454, 751, 958, 898?

Answer: LCM of 454, 751, 958, 898 is 73329317734.

2. How to calculate the LCM of 454, 751, 958, 898?

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, 751, 958, 898.

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}.