Given numbers are 312,411,855,716

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

The LCM of 312,411,855,716 is 2180585160.

Find LCM of 312,411,855,716 with Prime Factorization

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

2 x 2 x 3 x 26 x 137 x 285 x 179 = 2180585160

Therefore, the lowest common multiple of 312,411,855,716 is 2180585160.

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 411 x 855 x 716 = 78501065760

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

411 : 1, 3, 137, 411

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,411,855,716, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

411:3x 137

855:3x 3x 5x 19

716:2x 2x 179

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 78501065760/(1x36)

LCM = 78501065760/36

LCM = 2180585160

Thus, we can understand that the LCM of 312,411,855,716 is 2180585160.

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

• LCM of 809, 600, 410, 596
• LCM of 152, 304, 911, 142
• LCM of 149, 543, 891, 573
• LCM of 470, 978, 521, 945
• LCM of 565, 694, 493, 476

1. What is the LCM of 312, 411, 855, 716?

Answer: LCM of 312, 411, 855, 716 is 2180585160.

2. How to calculate the LCM of 312, 411, 855, 716?

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, 411, 855, 716.

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}.