Given numbers are 312,631,533,800,350

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

The LCM of 312,631,533,800,350 is 5650226400.

Find LCM of 312,631,533,800,350 with Prime Factorization

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

2 x 2 x 2 x 5 x 5 x 13 x 3 x 631 x 41 x 4 x 7 = 5650226400

Therefore, the lowest common multiple of 312,631,533,800,350 is 5650226400.

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 631 x 533 x 800 x 350 = 29381177280000

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

631 : 1, 631

533 : 1, 13, 41, 533

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,631,533,800,350, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

631:631

533:13x 41

800:2x 2x 2x 2x 2x 5x 5

350:2x 5x 5x 7

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 29381177280000/(1x5200)

LCM = 29381177280000/5200

LCM = 5650226400

Thus, we can understand that the LCM of 312,631,533,800,350 is 5650226400.

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

• LCM of 317, 352, 452, 114, 680
• LCM of 804, 361, 895, 897, 119
• LCM of 680, 291, 580, 802, 557
• LCM of 331, 488, 277, 328, 560
• LCM of 557, 111, 264, 396, 209

1. What is the LCM of 312, 631, 533, 800, 350?

Answer: LCM of 312, 631, 533, 800, 350 is 5650226400.

2. How to calculate the LCM of 312, 631, 533, 800, 350?

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, 631, 533, 800, 350.

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}.