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LCM of 454, 151, 718, 676

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


Find the LCM of 454, 151, 718, 676 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, 151, 718, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,151,718,676

Given numbers are 454,151,718,676

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

The LCM of 454,151,718,676 is 8318479468.

Find LCM of 454,151,718,676 with Prime Factorization


2 454, 151, 718, 676
227, 151, 359, 338

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

2 x 227 x 151 x 359 x 338 = 8318479468

Therefore, the lowest common multiple of 454,151,718,676 is 8318479468.

LCM Formula to Find Lowest Common Multiple of 454,151,718,676

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 151 x 718 x 676 = 33273917872

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

151 : 1, 151

718 : 1, 2, 359, 718

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,151,718,676, is 1.

Now, the common factors can be found like this.

454:2x 227

151:151

718:2x 359

676:2x 2x 13x 13

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 = 33273917872/(1x4)

LCM = 33273917872/4

LCM = 8318479468

Thus, we can understand that the LCM of 454,151,718,676 is 8318479468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 151, 718, 676

1. What is the LCM of 454, 151, 718, 676?

Answer: LCM of 454, 151, 718, 676 is 8318479468.

2. How to calculate the LCM of 454, 151, 718, 676?

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, 151, 718, 676.

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}.