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LCM of 586, 481, 949, 269, 269

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


Find the LCM of 586, 481, 949, 269, 269 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 586, 481, 949, 269, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,481,949,269,269

Given numbers are 586,481,949,269,269

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

The LCM of 586,481,949,269,269 is 5535002642.

Find LCM of 586,481,949,269,269 with Prime Factorization


13 586, 481, 949, 269, 269
269 586, 37, 73, 269, 269
586, 37, 73, 1, 1

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

13 x 269 x 586 x 37 x 73 x 1 x 1 = 5535002642

Therefore, the lowest common multiple of 586,481,949,269,269 is 5535002642.

LCM Formula to Find Lowest Common Multiple of 586,481,949,269,269

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.

586 x 481 x 949 x 269 x 269 = 19355904239074

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.

586 : 1, 2, 293, 586

481 : 1, 13, 37, 481

949 : 1, 13, 73, 949

269 : 1, 269

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,481,949,269,269, is 1.

Now, the common factors can be found like this.

586:2x 293

481:13x 37

949:13x 73

269:269

269:269

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

13x 269 = 3497

Therefore, the value for common factors is 3497.

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 = 19355904239074/(1x3497)

LCM = 19355904239074/3497

LCM = 5535002642

Thus, we can understand that the LCM of 586,481,949,269,269 is 5535002642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 481, 949, 269, 269

1. What is the LCM of 586, 481, 949, 269, 269?

Answer: LCM of 586, 481, 949, 269, 269 is 5535002642.

2. How to calculate the LCM of 586, 481, 949, 269, 269?

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 586, 481, 949, 269, 269.

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}.