Given numbers are 728,720,431,569,793

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

The LCM of 728,720,431,569,793 is 980151616080.

Find LCM of 728,720,431,569,793 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 90 x 431 x 569 x 61 = 980151616080

Therefore, the lowest common multiple of 728,720,431,569,793 is 980151616080.

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.

728 x 720 x 431 x 569 x 793 = 101935768072320

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

431 : 1, 431

569 : 1, 569

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,720,431,569,793, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

720:2x 2x 2x 2x 3x 3x 5

431:431

569:569

793:13x 61

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 13 = 104

Therefore, the value for common factors is 104.

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 = 101935768072320/(1x104)

LCM = 101935768072320/104

LCM = 980151616080

Thus, we can understand that the LCM of 728,720,431,569,793 is 980151616080.

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

• LCM of 669, 126, 662, 731, 161
• LCM of 168, 179, 355, 756, 584
• LCM of 380, 907, 110, 563, 588
• LCM of 302, 238, 114, 775, 300
• LCM of 254, 390, 509, 644, 497

1. What is the LCM of 728, 720, 431, 569, 793?

Answer: LCM of 728, 720, 431, 569, 793 is 980151616080.

2. How to calculate the LCM of 728, 720, 431, 569, 793?

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 728, 720, 431, 569, 793.

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}.