Given numbers are 331,578,864,107,250

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

The LCM of 331,578,864,107,250 is 1105435404000.

Find LCM of 331,578,864,107,250 with Prime Factorization

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

2 x 331 x 289 x 432 x 107 x 125 = 1105435404000

Therefore, the lowest common multiple of 331,578,864,107,250 is 1105435404000.

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.

331 x 578 x 864 x 107 x 250 = 4421741616000

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.

331 : 1, 331

578 : 1, 2, 17, 34, 289, 578

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

107 : 1, 107

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,578,864,107,250, is 1.

Now, the common factors can be found like this.

331:331

578:2x 17x 17

864:2x 2x 2x 2x 2x 3x 3x 3

107:107

250:2x 5x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 4421741616000/(1x4)

LCM = 4421741616000/4

LCM = 1105435404000

Thus, we can understand that the LCM of 331,578,864,107,250 is 1105435404000.

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

• LCM of 814, 667, 743, 777, 103
• LCM of 617, 520, 955, 169, 559
• LCM of 787, 546, 570, 304, 816
• LCM of 637, 342, 734, 990, 151
• LCM of 496, 829, 779, 286, 260

1. What is the LCM of 331, 578, 864, 107, 250?

Answer: LCM of 331, 578, 864, 107, 250 is 1105435404000.

2. How to calculate the LCM of 331, 578, 864, 107, 250?

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 331, 578, 864, 107, 250.

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}.