Given numbers are 142,232,311,864

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

The LCM of 142,232,311,864 is 553261536.

Find LCM of 142,232,311,864 with Prime Factorization

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

2 x 2 x 2 x 71 x 29 x 311 x 108 = 553261536

Therefore, the lowest common multiple of 142,232,311,864 is 553261536.

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.

142 x 232 x 311 x 864 = 8852184576

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.

142 : 1, 2, 71, 142

232 : 1, 2, 4, 8, 29, 58, 116, 232

311 : 1, 311

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,232,311,864, is 1.

Now, the common factors can be found like this.

142:2x 71

232:2x 2x 2x 29

311:311

864:2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 8852184576/(1x16)

LCM = 8852184576/16

LCM = 553261536

Thus, we can understand that the LCM of 142,232,311,864 is 553261536.

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

• LCM of 267, 439, 792, 558
• LCM of 741, 725, 701, 176
• LCM of 102, 474, 343, 564
• LCM of 774, 154, 908, 483
• LCM of 657, 535, 142, 162

1. What is the LCM of 142, 232, 311, 864?

Answer: LCM of 142, 232, 311, 864 is 553261536.

2. How to calculate the LCM of 142, 232, 311, 864?

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 142, 232, 311, 864.

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}.