Given numbers are 460,448,864,396

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

The LCM of 460,448,864,396 is 15301440.

Find LCM of 460,448,864,396 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 115 x 14 x 3 x 11 = 15301440

Therefore, the lowest common multiple of 460,448,864,396 is 15301440.

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.

460 x 448 x 864 x 396 = 70509035520

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,448,864,396, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

448:2x 2x 2x 2x 2x 2x 7

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

396:2x 2x 3x 3x 11

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 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 70509035520/(4x1152)

LCM = 70509035520/4608

LCM = 15301440

Thus, we can understand that the LCM of 460,448,864,396 is 15301440.

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

• LCM of 966, 293, 131, 523
• LCM of 610, 285, 439, 868
• LCM of 544, 780, 784, 839
• LCM of 965, 857, 935, 210
• LCM of 523, 171, 683, 150

1. What is the LCM of 460, 448, 864, 396?

Answer: LCM of 460, 448, 864, 396 is 15301440.

2. How to calculate the LCM of 460, 448, 864, 396?

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 460, 448, 864, 396.

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}.