Given numbers are 312,789,687

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

The LCM of 312,789,687 is 18790824.

Find LCM of 312,789,687 with Prime Factorization

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

3 x 104 x 263 x 229 = 18790824

Therefore, the lowest common multiple of 312,789,687 is 18790824.

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.

312 x 789 x 687 = 169117416

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

789 : 1, 3, 263, 789

687 : 1, 3, 229, 687

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,789,687, is 3.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

789:3x 263

687:3x 229

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

3 = 3

Therefore, the value for common factors is 3.

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 = 169117416/(3x3)

LCM = 169117416/9

LCM = 18790824

Thus, we can understand that the LCM of 312,789,687 is 18790824.

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

• LCM of 113, 313, 314
• LCM of 913, 377, 642
• LCM of 471, 328, 362
• LCM of 128, 197, 602
• LCM of 805, 702, 960

1. What is the LCM of 312, 789, 687?

Answer: LCM of 312, 789, 687 is 18790824.

2. How to calculate the LCM of 312, 789, 687?

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 312, 789, 687.

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}.