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LCM of 580, 396, 460, 838

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


Find the LCM of 580, 396, 460, 838 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 580, 396, 460, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,396,460,838

Given numbers are 580,396,460,838

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

The LCM of 580,396,460,838 is 553356540.

Find LCM of 580,396,460,838 with Prime Factorization


2 580, 396, 460, 838
2 290, 198, 230, 419
5 145, 99, 115, 419
29, 99, 23, 419

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

2 x 2 x 5 x 29 x 99 x 23 x 419 = 553356540

Therefore, the lowest common multiple of 580,396,460,838 is 553356540.

LCM Formula to Find Lowest Common Multiple of 580,396,460,838

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.

580 x 396 x 460 x 838 = 88537046400

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

838 : 1, 2, 419, 838

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,396,460,838, is 2.

Now, the common factors can be found like this.

580:2x 2x 5x 29

396:2x 2x 3x 3x 11

460:2x 2x 5x 23

838:2x 419

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 5 = 80

Therefore, the value for common factors is 80.

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 = 88537046400/(2x80)

LCM = 88537046400/160

LCM = 553356540

Thus, we can understand that the LCM of 580,396,460,838 is 553356540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 396, 460, 838

1. What is the LCM of 580, 396, 460, 838?

Answer: LCM of 580, 396, 460, 838 is 553356540.

2. How to calculate the LCM of 580, 396, 460, 838?

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 580, 396, 460, 838.

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}.