Given numbers are 580,540,409,838

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

The LCM of 580,540,409,838 is 2683669860.

Find LCM of 580,540,409,838 with Prime Factorization

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

2 x 2 x 5 x 29 x 27 x 409 x 419 = 2683669860

Therefore, the lowest common multiple of 580,540,409,838 is 2683669860.

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 540 x 409 x 838 = 107346794400

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

409 : 1, 409

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,540,409,838, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

540:2x 2x 3x 3x 3x 5

409:409

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 5 = 40

Therefore, the value for common factors is 40.

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 = 107346794400/(1x40)

LCM = 107346794400/40

LCM = 2683669860

Thus, we can understand that the LCM of 580,540,409,838 is 2683669860.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 646, 955, 177, 819
• LCM of 107, 512, 327, 442
• LCM of 777, 981, 934, 677
• LCM of 307, 712, 200, 193
• LCM of 131, 773, 317, 914

1. What is the LCM of 580, 540, 409, 838?

Answer: LCM of 580, 540, 409, 838 is 2683669860.

2. How to calculate the LCM of 580, 540, 409, 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, 540, 409, 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}.