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LCM of 248, 589, 724, 920, 249

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


Find the LCM of 248, 589, 724, 920, 249 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 248, 589, 724, 920, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,589,724,920,249

Given numbers are 248,589,724,920,249

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

The LCM of 248,589,724,920,249 is 24421989720.

Find LCM of 248,589,724,920,249 with Prime Factorization


2 248, 589, 724, 920, 249
2 124, 589, 362, 460, 249
2 62, 589, 181, 230, 249
31 31, 589, 181, 115, 249
1, 19, 181, 115, 249

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

2 x 2 x 2 x 31 x 1 x 19 x 181 x 115 x 249 = 24421989720

Therefore, the lowest common multiple of 248,589,724,920,249 is 24421989720.

LCM Formula to Find Lowest Common Multiple of 248,589,724,920,249

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.

248 x 589 x 724 x 920 x 249 = 24226613802240

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

589 : 1, 19, 31, 589

724 : 1, 2, 4, 181, 362, 724

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,589,724,920,249, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

589:19x 31

724:2x 2x 181

920:2x 2x 2x 5x 23

249:3x 83

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 31 = 992

Therefore, the value for common factors is 992.

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 = 24226613802240/(1x992)

LCM = 24226613802240/992

LCM = 24421989720

Thus, we can understand that the LCM of 248,589,724,920,249 is 24421989720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 589, 724, 920, 249

1. What is the LCM of 248, 589, 724, 920, 249?

Answer: LCM of 248, 589, 724, 920, 249 is 24421989720.

2. How to calculate the LCM of 248, 589, 724, 920, 249?

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 248, 589, 724, 920, 249.

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}.