Given numbers are 264,872,828,812,442

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

The LCM of 264,872,828,812,442 is 89077460472.

Find LCM of 264,872,828,812,442 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 109 x 69 x 203 x 221 = 89077460472

Therefore, the lowest common multiple of 264,872,828,812,442 is 89077460472.

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.

264 x 872 x 828 x 812 x 442 = 68411489642496

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

872 : 1, 2, 4, 8, 109, 218, 436, 872

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,872,828,812,442, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

872:2x 2x 2x 109

828:2x 2x 3x 3x 23

812:2x 2x 7x 29

442:2x 13x 17

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 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 68411489642496/(2x384)

LCM = 68411489642496/768

LCM = 89077460472

Thus, we can understand that the LCM of 264,872,828,812,442 is 89077460472.

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

• LCM of 550, 967, 849, 790, 189
• LCM of 338, 784, 535, 357, 293
• LCM of 604, 330, 791, 116, 221
• LCM of 476, 627, 626, 987, 666
• LCM of 541, 847, 130, 932, 694

1. What is the LCM of 264, 872, 828, 812, 442?

Answer: LCM of 264, 872, 828, 812, 442 is 89077460472.

2. How to calculate the LCM of 264, 872, 828, 812, 442?

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 264, 872, 828, 812, 442.

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}.