Given numbers are 831,990,780,720

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

The LCM of 831,990,780,720 is 28519920.

Find LCM of 831,990,780,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 277 x 11 x 13 x 4 = 28519920

Therefore, the lowest common multiple of 831,990,780,720 is 28519920.

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.

831 x 990 x 780 x 720 = 462022704000

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.

831 : 1, 3, 277, 831

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,990,780,720, is 3.

Now, the common factors can be found like this.

831:3x 277

990:2x 3x 3x 5x 11

780:2x 2x 3x 5x 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 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 462022704000/(3x5400)

LCM = 462022704000/16200

LCM = 28519920

Thus, we can understand that the LCM of 831,990,780,720 is 28519920.

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

• LCM of 225, 201, 871, 973
• LCM of 557, 171, 323, 871
• LCM of 541, 655, 981, 934
• LCM of 621, 526, 117, 745
• LCM of 778, 349, 183, 965

1. What is the LCM of 831, 990, 780, 720?

Answer: LCM of 831, 990, 780, 720 is 28519920.

2. How to calculate the LCM of 831, 990, 780, 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 831, 990, 780, 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}.