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LCM of 389, 248, 559, 247, 279

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


Find the LCM of 389, 248, 559, 247, 279 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 389, 248, 559, 247, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,248,559,247,279

Given numbers are 389,248,559,247,279

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

The LCM of 389,248,559,247,279 is 9221662008.

Find LCM of 389,248,559,247,279 with Prime Factorization


13 389, 248, 559, 247, 279
31 389, 248, 43, 19, 279
389, 8, 43, 19, 9

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

13 x 31 x 389 x 8 x 43 x 19 x 9 = 9221662008

Therefore, the lowest common multiple of 389,248,559,247,279 is 9221662008.

LCM Formula to Find Lowest Common Multiple of 389,248,559,247,279

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.

389 x 248 x 559 x 247 x 279 = 3716329789224

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.

389 : 1, 389

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

559 : 1, 13, 43, 559

247 : 1, 13, 19, 247

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,248,559,247,279, is 1.

Now, the common factors can be found like this.

389:389

248:2x 2x 2x 31

559:13x 43

247:13x 19

279:3x 3x 31

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

13x 31 = 403

Therefore, the value for common factors is 403.

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 = 3716329789224/(1x403)

LCM = 3716329789224/403

LCM = 9221662008

Thus, we can understand that the LCM of 389,248,559,247,279 is 9221662008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 248, 559, 247, 279

1. What is the LCM of 389, 248, 559, 247, 279?

Answer: LCM of 389, 248, 559, 247, 279 is 9221662008.

2. How to calculate the LCM of 389, 248, 559, 247, 279?

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 389, 248, 559, 247, 279.

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}.