Given numbers are 789,745,440,143,720

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

The LCM of 789,745,440,143,720 is 4034693520.

Find LCM of 789,745,440,143,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 263 x 149 x 1 x 13 x 6 = 4034693520

Therefore, the lowest common multiple of 789,745,440,143,720 is 4034693520.

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.

789 x 745 x 440 x 143 x 720 = 26628977232000

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.

789 : 1, 3, 263, 789

745 : 1, 5, 149, 745

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

143 : 1, 11, 13, 143

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,745,440,143,720, is 1.

Now, the common factors can be found like this.

789:3x 263

745:5x 149

440:2x 2x 2x 5x 11

143:11x 13

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

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 3x 5x 5x 11 = 6600

Therefore, the value for common factors is 6600.

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 = 26628977232000/(1x6600)

LCM = 26628977232000/6600

LCM = 4034693520

Thus, we can understand that the LCM of 789,745,440,143,720 is 4034693520.

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

• LCM of 275, 786, 460, 172, 732
• LCM of 222, 741, 622, 873, 690
• LCM of 357, 551, 381, 191, 307
• LCM of 652, 231, 848, 647, 526
• LCM of 430, 920, 760, 507, 200

1. What is the LCM of 789, 745, 440, 143, 720?

Answer: LCM of 789, 745, 440, 143, 720 is 4034693520.

2. How to calculate the LCM of 789, 745, 440, 143, 720?

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 789, 745, 440, 143, 720.

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}.