Given numbers are 579,680,320,440

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

The LCM of 579,680,320,440 is 34647360.

Find LCM of 579,680,320,440 with Prime Factorization

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

2 x 2 x 2 x 5 x 579 x 17 x 8 x 11 = 34647360

Therefore, the lowest common multiple of 579,680,320,440 is 34647360.

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.

579 x 680 x 320 x 440 = 55435776000

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.

579 : 1, 3, 193, 579

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,680,320,440, is 1.

Now, the common factors can be found like this.

579:3x 193

680:2x 2x 2x 5x 17

320:2x 2x 2x 2x 2x 2x 5

440:2x 2x 2x 5x 11

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 2x 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 55435776000/(1x1600)

LCM = 55435776000/1600

LCM = 34647360

Thus, we can understand that the LCM of 579,680,320,440 is 34647360.

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

• LCM of 970, 622, 896, 770
• LCM of 245, 191, 470, 558
• LCM of 291, 489, 145, 752
• LCM of 217, 546, 630, 654
• LCM of 350, 400, 827, 931

1. What is the LCM of 579, 680, 320, 440?

Answer: LCM of 579, 680, 320, 440 is 34647360.

2. How to calculate the LCM of 579, 680, 320, 440?

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 579, 680, 320, 440.

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}.