Given numbers are 312,314,566

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

The LCM of 312,314,566 is 13862472.

Find LCM of 312,314,566 with Prime Factorization

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

2 x 156 x 157 x 283 = 13862472

Therefore, the lowest common multiple of 312,314,566 is 13862472.

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 314 x 566 = 55449888

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

314 : 1, 2, 157, 314

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,314,566, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

314:2x 157

566:2x 283

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

2 = 2

Therefore, the value for common factors is 2.

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 = 55449888/(2x2)

LCM = 55449888/4

LCM = 13862472

Thus, we can understand that the LCM of 312,314,566 is 13862472.

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

• LCM of 623, 923, 997
• LCM of 217, 659, 692
• LCM of 813, 589, 357
• LCM of 761, 821, 248
• LCM of 697, 780, 393

1. What is the LCM of 312, 314, 566?

Answer: LCM of 312, 314, 566 is 13862472.

2. How to calculate the LCM of 312, 314, 566?

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, 314, 566.

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}.