Given numbers are 800,579,350,153,861

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

The LCM of 800,579,350,153,861 is 6779858400.

Find LCM of 800,579,350,153,861 with Prime Factorization

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

2 x 3 x 5 x 5 x 7 x 16 x 193 x 1 x 51 x 41 = 6779858400

Therefore, the lowest common multiple of 800,579,350,153,861 is 6779858400.

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 579 x 350 x 153 x 861 = 21356553960000

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

579 : 1, 3, 193, 579

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

153 : 1, 3, 9, 17, 51, 153

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,579,350,153,861, is 1.

Now, the common factors can be found like this.

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

579:3x 193

350:2x 5x 5x 7

153:3x 3x 17

861:3x 7x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 5x 7 = 3150

Therefore, the value for common factors is 3150.

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 = 21356553960000/(1x3150)

LCM = 21356553960000/3150

LCM = 6779858400

Thus, we can understand that the LCM of 800,579,350,153,861 is 6779858400.

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

• LCM of 366, 640, 220, 233, 525
• LCM of 127, 275, 377, 821, 106
• LCM of 357, 635, 531, 139, 741
• LCM of 129, 563, 221, 153, 438
• LCM of 369, 172, 545, 280, 725

1. What is the LCM of 800, 579, 350, 153, 861?

Answer: LCM of 800, 579, 350, 153, 861 is 6779858400.

2. How to calculate the LCM of 800, 579, 350, 153, 861?

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, 579, 350, 153, 861.

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}.