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LCM of 884, 454, 856, 374

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


Find the LCM of 884, 454, 856, 374 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 884, 454, 856, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,454,856,374

Given numbers are 884,454,856,374

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

The LCM of 884,454,856,374 is 472372472.

Find LCM of 884,454,856,374 with Prime Factorization


2 884, 454, 856, 374
2 442, 227, 428, 187
17 221, 227, 214, 187
13, 227, 214, 11

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

2 x 2 x 17 x 13 x 227 x 214 x 11 = 472372472

Therefore, the lowest common multiple of 884,454,856,374 is 472372472.

LCM Formula to Find Lowest Common Multiple of 884,454,856,374

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.

884 x 454 x 856 x 374 = 128485312384

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

454 : 1, 2, 227, 454

856 : 1, 2, 4, 8, 107, 214, 428, 856

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,454,856,374, is 2.

Now, the common factors can be found like this.

884:2x 2x 13x 17

454:2x 227

856:2x 2x 2x 107

374:2x 11x 17

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

2x 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 128485312384/(2x136)

LCM = 128485312384/272

LCM = 472372472

Thus, we can understand that the LCM of 884,454,856,374 is 472372472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 454, 856, 374

1. What is the LCM of 884, 454, 856, 374?

Answer: LCM of 884, 454, 856, 374 is 472372472.

2. How to calculate the LCM of 884, 454, 856, 374?

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 884, 454, 856, 374.

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}.