Given numbers are 580,900,290,875

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

The LCM of 580,900,290,875 is 913500.

Find LCM of 580,900,290,875 with Prime Factorization

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

2 x 2 x 5 x 5 x 29 x 1 x 9 x 1 x 35 = 913500

Therefore, the lowest common multiple of 580,900,290,875 is 913500.

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 900 x 290 x 875 = 132457500000

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

290 : 1, 2, 5, 10, 29, 58, 145, 290

875 : 1, 5, 7, 25, 35, 125, 175, 875

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,900,290,875, is 5.

Now, the common factors can be found like this.

580:2x 2x 5x 29

900:2x 2x 3x 3x 5x 5

290:2x 5x 29

875:5x 5x 5x 7

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 5x 5x 5x 29 = 29000

Therefore, the value for common factors is 29000.

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 = 132457500000/(5x29000)

LCM = 132457500000/145000

LCM = 913500

Thus, we can understand that the LCM of 580,900,290,875 is 913500.

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

• LCM of 478, 937, 685, 834
• LCM of 807, 903, 535, 910
• LCM of 232, 389, 513, 218
• LCM of 215, 113, 839, 958
• LCM of 141, 781, 773, 513

1. What is the LCM of 580, 900, 290, 875?

Answer: LCM of 580, 900, 290, 875 is 913500.

2. How to calculate the LCM of 580, 900, 290, 875?

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, 900, 290, 875.

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}.