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LCM of 284, 988, 898, 260, 324

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


Find the LCM of 284, 988, 898, 260, 324 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, 988, 898, 260, 324. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 284,988,898,260,324

Given numbers are 284,988,898,260,324

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

The LCM of 284,988,898,260,324 is 12756063060.

Find LCM of 284,988,898,260,324 with Prime Factorization


2 284, 988, 898, 260, 324
2 142, 494, 449, 130, 162
13 71, 247, 449, 65, 81
71, 19, 449, 5, 81

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

2 x 2 x 13 x 71 x 19 x 449 x 5 x 81 = 12756063060

Therefore, the lowest common multiple of 284,988,898,260,324 is 12756063060.

LCM Formula to Find Lowest Common Multiple of 284,988,898,260,324

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 988 x 898 x 260 x 324 = 21226088931840

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

898 : 1, 2, 449, 898

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,988,898,260,324, is 2.

Now, the common factors can be found like this.

284:2x 2x 71

988:2x 2x 13x 19

898:2x 449

260:2x 2x 5x 13

324:2x 2x 3x 3x 3x 3

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 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 21226088931840/(2x832)

LCM = 21226088931840/1664

LCM = 12756063060

Thus, we can understand that the LCM of 284,988,898,260,324 is 12756063060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 284, 988, 898, 260, 324

1. What is the LCM of 284, 988, 898, 260, 324?

Answer: LCM of 284, 988, 898, 260, 324 is 12756063060.

2. How to calculate the LCM of 284, 988, 898, 260, 324?

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, 988, 898, 260, 324.

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}.