Given numbers are 232,313,861,540,792

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

The LCM of 232,313,861,540,792 is 30948576120.

Find LCM of 232,313,861,540,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 29 x 313 x 287 x 15 x 11 = 30948576120

Therefore, the lowest common multiple of 232,313,861,540,792 is 30948576120.

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.

232 x 313 x 861 x 540 x 792 = 26739569767680

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.

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

313 : 1, 313

861 : 1, 3, 7, 21, 41, 123, 287, 861

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,313,861,540,792, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

313:313

861:3x 7x 41

540:2x 2x 3x 3x 3x 5

792:2x 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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 26739569767680/(1x864)

LCM = 26739569767680/864

LCM = 30948576120

Thus, we can understand that the LCM of 232,313,861,540,792 is 30948576120.

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

• LCM of 450, 206, 491, 853, 280
• LCM of 539, 667, 302, 475, 812
• LCM of 547, 231, 825, 556, 944
• LCM of 312, 594, 596, 885, 112
• LCM of 675, 508, 123, 543, 394

1. What is the LCM of 232, 313, 861, 540, 792?

Answer: LCM of 232, 313, 861, 540, 792 is 30948576120.

2. How to calculate the LCM of 232, 313, 861, 540, 792?

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 232, 313, 861, 540, 792.

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}.