Given numbers are 923,413,312

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

The LCM of 923,413,312 is 9148776.

Find LCM of 923,413,312 with Prime Factorization

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

13 x 71 x 413 x 24 = 9148776

Therefore, the lowest common multiple of 923,413,312 is 9148776.

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.

923 x 413 x 312 = 118934088

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.

923 : 1, 13, 71, 923

413 : 1, 7, 59, 413

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,413,312, is 1.

Now, the common factors can be found like this.

923:13x 71

413:7x 59

312:2x 2x 2x 3x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 118934088/(1x13)

LCM = 118934088/13

LCM = 9148776

Thus, we can understand that the LCM of 923,413,312 is 9148776.

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

• LCM of 221, 505, 210
• LCM of 500, 396, 807
• LCM of 715, 839, 335
• LCM of 765, 759, 710
• LCM of 828, 449, 800

1. What is the LCM of 923, 413, 312?

Answer: LCM of 923, 413, 312 is 9148776.

2. How to calculate the LCM of 923, 413, 312?

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 923, 413, 312.

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}.