Given numbers are 820,104,864,324

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

The LCM of 820,104,864,324 is 6907680.

Find LCM of 820,104,864,324 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 205 x 13 x 4 x 3 = 6907680

Therefore, the lowest common multiple of 820,104,864,324 is 6907680.

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.

820 x 104 x 864 x 324 = 23872942080

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

104 : 1, 2, 4, 8, 13, 26, 52, 104

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,104,864,324, is 4.

Now, the common factors can be found like this.

820:2x 2x 5x 41

104:2x 2x 2x 13

864:2x 2x 2x 2x 2x 3x 3x 3

324:2x 2x 3x 3x 3x 3

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 23872942080/(4x864)

LCM = 23872942080/3456

LCM = 6907680

Thus, we can understand that the LCM of 820,104,864,324 is 6907680.

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

• LCM of 520, 643, 613, 993
• LCM of 411, 251, 511, 874
• LCM of 551, 465, 524, 744
• LCM of 552, 172, 170, 871
• LCM of 765, 798, 179, 513

1. What is the LCM of 820, 104, 864, 324?

Answer: LCM of 820, 104, 864, 324 is 6907680.

2. How to calculate the LCM of 820, 104, 864, 324?

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 820, 104, 864, 324.

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}.