Given numbers are 810,969,720,630

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

The LCM of 810,969,720,630 is 14651280.

Find LCM of 810,969,720,630 with Prime Factorization

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

2 x 3 x 3 x 5 x 9 x 323 x 8 x 7 = 14651280

Therefore, the lowest common multiple of 810,969,720,630 is 14651280.

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.

810 x 969 x 720 x 630 = 356026104000

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,969,720,630, is 3.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

969:3x 17x 19

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

630:2x 3x 3x 5x 7

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 3x 3x 3x 3x 5x 5 = 8100

Therefore, the value for common factors is 8100.

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 = 356026104000/(3x8100)

LCM = 356026104000/24300

LCM = 14651280

Thus, we can understand that the LCM of 810,969,720,630 is 14651280.

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

• LCM of 223, 759, 922, 426
• LCM of 173, 603, 449, 132
• LCM of 272, 670, 623, 775
• LCM of 971, 210, 654, 965
• LCM of 781, 885, 997, 235

1. What is the LCM of 810, 969, 720, 630?

Answer: LCM of 810, 969, 720, 630 is 14651280.

2. How to calculate the LCM of 810, 969, 720, 630?

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 810, 969, 720, 630.

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}.