Given numbers are 312,485,508,250,720

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

The LCM of 312,485,508,250,720 is 2882646000.

Find LCM of 312,485,508,250,720 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 97 x 127 x 25 x 6 = 2882646000

Therefore, the lowest common multiple of 312,485,508,250,720 is 2882646000.

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 485 x 508 x 250 x 720 = 13836700800000

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

485 : 1, 5, 97, 485

508 : 1, 2, 4, 127, 254, 508

250 : 1, 2, 5, 10, 25, 50, 125, 250

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,485,508,250,720, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

485:5x 97

508:2x 2x 127

250:2x 5x 5x 5

720:2x 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 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 13836700800000/(1x4800)

LCM = 13836700800000/4800

LCM = 2882646000

Thus, we can understand that the LCM of 312,485,508,250,720 is 2882646000.

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

• LCM of 335, 959, 512, 807, 337
• LCM of 605, 530, 915, 932, 412
• LCM of 833, 552, 285, 823, 951
• LCM of 149, 860, 576, 620, 310
• LCM of 142, 762, 865, 522, 727

1. What is the LCM of 312, 485, 508, 250, 720?

Answer: LCM of 312, 485, 508, 250, 720 is 2882646000.

2. How to calculate the LCM of 312, 485, 508, 250, 720?

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, 485, 508, 250, 720.

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}.