Given numbers are 679,676,900,590

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

The LCM of 679,676,900,590 is 6093278100.

Find LCM of 679,676,900,590 with Prime Factorization

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

2 x 2 x 5 x 679 x 169 x 45 x 59 = 6093278100

Therefore, the lowest common multiple of 679,676,900,590 is 6093278100.

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.

679 x 676 x 900 x 590 = 243731124000

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.

679 : 1, 7, 97, 679

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,676,900,590, is 1.

Now, the common factors can be found like this.

679:7x 97

676:2x 2x 13x 13

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

590:2x 5x 59

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 = 243731124000/(1x40)

LCM = 243731124000/40

LCM = 6093278100

Thus, we can understand that the LCM of 679,676,900,590 is 6093278100.

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

• LCM of 152, 293, 396, 659
• LCM of 133, 747, 749, 190
• LCM of 856, 390, 806, 970
• LCM of 404, 525, 749, 359
• LCM of 254, 514, 464, 443

1. What is the LCM of 679, 676, 900, 590?

Answer: LCM of 679, 676, 900, 590 is 6093278100.

2. How to calculate the LCM of 679, 676, 900, 590?

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 679, 676, 900, 590.

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}.