Given numbers are 192,792,386,305,432

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

The LCM of 192,792,386,305,432 is 1118905920.

Find LCM of 192,792,386,305,432 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 4 x 11 x 193 x 305 x 3 = 1118905920

Therefore, the lowest common multiple of 192,792,386,305,432 is 1118905920.

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.

192 x 792 x 386 x 305 x 432 = 7733877719040

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

386 : 1, 2, 193, 386

305 : 1, 5, 61, 305

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,792,386,305,432, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

792:2x 2x 2x 3x 3x 11

386:2x 193

305:5x 61

432:2x 2x 2x 2x 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 2x 2x 2x 3x 3x 3 = 6912

Therefore, the value for common factors is 6912.

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 = 7733877719040/(1x6912)

LCM = 7733877719040/6912

LCM = 1118905920

Thus, we can understand that the LCM of 192,792,386,305,432 is 1118905920.

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

• LCM of 177, 187, 262, 994, 378
• LCM of 432, 297, 331, 799, 204
• LCM of 426, 675, 554, 424, 809
• LCM of 313, 824, 301, 622, 469
• LCM of 622, 169, 579, 173, 879

1. What is the LCM of 192, 792, 386, 305, 432?

Answer: LCM of 192, 792, 386, 305, 432 is 1118905920.

2. How to calculate the LCM of 192, 792, 386, 305, 432?

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 192, 792, 386, 305, 432.

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}.