Given numbers are 320,490,800,331

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

The LCM of 320,490,800,331 is 25950400.

Find LCM of 320,490,800,331 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 2 x 49 x 5 x 331 = 25950400

Therefore, the lowest common multiple of 320,490,800,331 is 25950400.

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.

320 x 490 x 800 x 331 = 41520640000

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,490,800,331, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

490:2x 5x 7x 7

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

331:331

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 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 41520640000/(1x1600)

LCM = 41520640000/1600

LCM = 25950400

Thus, we can understand that the LCM of 320,490,800,331 is 25950400.

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

• LCM of 611, 876, 431, 852
• LCM of 700, 317, 445, 285
• LCM of 784, 432, 609, 688
• LCM of 655, 991, 566, 515
• LCM of 864, 229, 606, 610

1. What is the LCM of 320, 490, 800, 331?

Answer: LCM of 320, 490, 800, 331 is 25950400.

2. How to calculate the LCM of 320, 490, 800, 331?

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 320, 490, 800, 331.

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}.