Given numbers are 828,864,764,566

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

The LCM of 828,864,764,566 is 1074141216.

Find LCM of 828,864,764,566 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 24 x 191 x 283 = 1074141216

Therefore, the lowest common multiple of 828,864,764,566 is 1074141216.

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.

828 x 864 x 764 x 566 = 309352670208

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.

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

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

764 : 1, 2, 4, 191, 382, 764

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,864,764,566, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

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

764:2x 2x 191

566:2x 283

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 309352670208/(2x144)

LCM = 309352670208/288

LCM = 1074141216

Thus, we can understand that the LCM of 828,864,764,566 is 1074141216.

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

• LCM of 661, 655, 814, 537
• LCM of 465, 186, 659, 946
• LCM of 497, 866, 747, 461
• LCM of 680, 467, 693, 672
• LCM of 217, 997, 820, 439

1. What is the LCM of 828, 864, 764, 566?

Answer: LCM of 828, 864, 764, 566 is 1074141216.

2. How to calculate the LCM of 828, 864, 764, 566?

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 828, 864, 764, 566.

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}.