Given numbers are 580,204,121,493

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

The LCM of 580,204,121,493 is 3579180.

Find LCM of 580,204,121,493 with Prime Factorization

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

2 x 2 x 17 x 29 x 5 x 3 x 121 x 1 = 3579180

Therefore, the lowest common multiple of 580,204,121,493 is 3579180.

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 204 x 121 x 493 = 7058142960

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

121 : 1, 11, 121

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,204,121,493, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

204:2x 2x 3x 17

121:11x 11

493:17x 29

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 17x 29 = 1972

Therefore, the value for common factors is 1972.

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 = 7058142960/(1x1972)

LCM = 7058142960/1972

LCM = 3579180

Thus, we can understand that the LCM of 580,204,121,493 is 3579180.

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

• LCM of 354, 883, 585, 967
• LCM of 399, 883, 514, 268
• LCM of 864, 832, 113, 581
• LCM of 661, 740, 815, 834
• LCM of 827, 311, 356, 596

1. What is the LCM of 580, 204, 121, 493?

Answer: LCM of 580, 204, 121, 493 is 3579180.

2. How to calculate the LCM of 580, 204, 121, 493?

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, 204, 121, 493.

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}.