Given numbers are 810,715,828,630,447

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

The LCM of 810,715,828,630,447 is 5557291740.

Find LCM of 810,715,828,630,447 with Prime Factorization

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

2 x 3 x 3 x 5 x 9 x 143 x 46 x 7 x 149 = 5557291740

Therefore, the lowest common multiple of 810,715,828,630,447 is 5557291740.

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 715 x 828 x 630 x 447 = 135042189282000

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,715,828,630,447, is 1.

Now, the common factors can be found like this.

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

715:5x 11x 13

828:2x 2x 3x 3x 23

630:2x 3x 3x 5x 7

447:3x 149

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 3x 5x 5 = 24300

Therefore, the value for common factors is 24300.

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 = 135042189282000/(1x24300)

LCM = 135042189282000/24300

LCM = 5557291740

Thus, we can understand that the LCM of 810,715,828,630,447 is 5557291740.

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

• LCM of 414, 344, 118, 674, 703
• LCM of 169, 197, 741, 371, 731
• LCM of 373, 413, 138, 286, 733
• LCM of 970, 692, 747, 670, 869
• LCM of 869, 532, 513, 928, 520

1. What is the LCM of 810, 715, 828, 630, 447?

Answer: LCM of 810, 715, 828, 630, 447 is 5557291740.

2. How to calculate the LCM of 810, 715, 828, 630, 447?

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, 715, 828, 630, 447.

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}.