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LCM of 284, 494, 671, 554

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


Find the LCM of 284, 494, 671, 554 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 284, 494, 671, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 284,494,671,554

Given numbers are 284,494,671,554

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

The LCM of 284,494,671,554 is 13038198316.

Find LCM of 284,494,671,554 with Prime Factorization


2 284, 494, 671, 554
142, 247, 671, 277

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

2 x 142 x 247 x 671 x 277 = 13038198316

Therefore, the lowest common multiple of 284,494,671,554 is 13038198316.

LCM Formula to Find Lowest Common Multiple of 284,494,671,554

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.

284 x 494 x 671 x 554 = 52152793264

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.

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

671 : 1, 11, 61, 671

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,494,671,554, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

494:2x 13x 19

671:11x 61

554:2x 277

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 = 52152793264/(1x4)

LCM = 52152793264/4

LCM = 13038198316

Thus, we can understand that the LCM of 284,494,671,554 is 13038198316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 284, 494, 671, 554

1. What is the LCM of 284, 494, 671, 554?

Answer: LCM of 284, 494, 671, 554 is 13038198316.

2. How to calculate the LCM of 284, 494, 671, 554?

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 284, 494, 671, 554.

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}.