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LCM of 454, 676, 886, 733

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


Find the LCM of 454, 676, 886, 733 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, 676, 886, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,676,886,733

Given numbers are 454,676,886,733

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

The LCM of 454,676,886,733 is 49828779988.

Find LCM of 454,676,886,733 with Prime Factorization


2 454, 676, 886, 733
227, 338, 443, 733

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

2 x 227 x 338 x 443 x 733 = 49828779988

Therefore, the lowest common multiple of 454,676,886,733 is 49828779988.

LCM Formula to Find Lowest Common Multiple of 454,676,886,733

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 676 x 886 x 733 = 199315119952

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

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

886 : 1, 2, 443, 886

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,676,886,733, is 1.

Now, the common factors can be found like this.

454:2x 227

676:2x 2x 13x 13

886:2x 443

733:733

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 = 199315119952/(1x4)

LCM = 199315119952/4

LCM = 49828779988

Thus, we can understand that the LCM of 454,676,886,733 is 49828779988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 676, 886, 733

1. What is the LCM of 454, 676, 886, 733?

Answer: LCM of 454, 676, 886, 733 is 49828779988.

2. How to calculate the LCM of 454, 676, 886, 733?

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, 676, 886, 733.

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}.