Given numbers are 800,414,600,331,731

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

The LCM of 800,414,600,331,731 is 40068741600.

Find LCM of 800,414,600,331,731 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 4 x 69 x 1 x 331 x 731 = 40068741600

Therefore, the lowest common multiple of 800,414,600,331,731 is 40068741600.

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.

800 x 414 x 600 x 331 x 731 = 48082489920000

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.

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

331 : 1, 331

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,414,600,331,731, is 1.

Now, the common factors can be found like this.

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

414:2x 3x 3x 23

600:2x 2x 2x 3x 5x 5

331:331

731:17x 43

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 5 = 1200

Therefore, the value for common factors is 1200.

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 = 48082489920000/(1x1200)

LCM = 48082489920000/1200

LCM = 40068741600

Thus, we can understand that the LCM of 800,414,600,331,731 is 40068741600.

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

• LCM of 330, 291, 217, 933, 344
• LCM of 160, 433, 262, 978, 438
• LCM of 629, 287, 332, 636, 825
• LCM of 624, 330, 873, 144, 230
• LCM of 127, 370, 375, 638, 142

1. What is the LCM of 800, 414, 600, 331, 731?

Answer: LCM of 800, 414, 600, 331, 731 is 40068741600.

2. How to calculate the LCM of 800, 414, 600, 331, 731?

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 800, 414, 600, 331, 731.

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}.