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LCM of 484, 843, 814, 387, 284

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


Find the LCM of 484, 843, 814, 387, 284 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 484, 843, 814, 387, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,843,814,387,284

Given numbers are 484,843,814,387,284

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

The LCM of 484,843,814,387,284 is 138268330596.

Find LCM of 484,843,814,387,284 with Prime Factorization


2 484, 843, 814, 387, 284
2 242, 843, 407, 387, 142
3 121, 843, 407, 387, 71
11 121, 281, 407, 129, 71
11, 281, 37, 129, 71

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

2 x 2 x 3 x 11 x 11 x 281 x 37 x 129 x 71 = 138268330596

Therefore, the lowest common multiple of 484,843,814,387,284 is 138268330596.

LCM Formula to Find Lowest Common Multiple of 484,843,814,387,284

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.

484 x 843 x 814 x 387 x 284 = 36502839277344

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

843 : 1, 3, 281, 843

814 : 1, 2, 11, 22, 37, 74, 407, 814

387 : 1, 3, 9, 43, 129, 387

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,843,814,387,284, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

843:3x 281

814:2x 11x 37

387:3x 3x 43

284:2x 2x 71

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 36502839277344/(1x264)

LCM = 36502839277344/264

LCM = 138268330596

Thus, we can understand that the LCM of 484,843,814,387,284 is 138268330596.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 843, 814, 387, 284

1. What is the LCM of 484, 843, 814, 387, 284?

Answer: LCM of 484, 843, 814, 387, 284 is 138268330596.

2. How to calculate the LCM of 484, 843, 814, 387, 284?

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 484, 843, 814, 387, 284.

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}.