Given numbers are 312,814,845,360

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

The LCM of 312,814,845,360 is 24761880.

Find LCM of 312,814,845,360 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 1 x 407 x 13 x 3 = 24761880

Therefore, the lowest common multiple of 312,814,845,360 is 24761880.

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 814 x 845 x 360 = 77257065600

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

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

845 : 1, 5, 13, 65, 169, 845

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,814,845,360, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

814:2x 11x 37

845:5x 13x 13

360:2x 2x 2x 3x 3x 5

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 2x 2x 3x 5x 13 = 3120

Therefore, the value for common factors is 3120.

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 = 77257065600/(1x3120)

LCM = 77257065600/3120

LCM = 24761880

Thus, we can understand that the LCM of 312,814,845,360 is 24761880.

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

• LCM of 272, 865, 777, 404
• LCM of 410, 957, 162, 651
• LCM of 287, 965, 772, 775
• LCM of 578, 762, 900, 613
• LCM of 850, 727, 405, 333

1. What is the LCM of 312, 814, 845, 360?

Answer: LCM of 312, 814, 845, 360 is 24761880.

2. How to calculate the LCM of 312, 814, 845, 360?

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, 814, 845, 360.

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}.