Given numbers are 814,879,912

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

The LCM of 814,879,912 is 108756912.

Find LCM of 814,879,912 with Prime Factorization

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

2 x 3 x 407 x 293 x 152 = 108756912

Therefore, the lowest common multiple of 814,879,912 is 108756912.

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.

814 x 879 x 912 = 652541472

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

879 : 1, 3, 293, 879

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,879,912, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

879:3x 293

912:2x 2x 2x 2x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 652541472/(1x6)

LCM = 652541472/6

LCM = 108756912

Thus, we can understand that the LCM of 814,879,912 is 108756912.

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

• LCM of 562, 453, 362
• LCM of 723, 554, 148
• LCM of 268, 887, 324
• LCM of 297, 928, 214
• LCM of 325, 512, 565

1. What is the LCM of 814, 879, 912?

Answer: LCM of 814, 879, 912 is 108756912.

2. How to calculate the LCM of 814, 879, 912?

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 814, 879, 912.

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}.