Given numbers are 800,529,198,407,239

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

The LCM of 800,529,198,407,239 is 370493402400.

Find LCM of 800,529,198,407,239 with Prime Factorization

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

2 x 11 x 400 x 529 x 9 x 37 x 239 = 370493402400

Therefore, the lowest common multiple of 800,529,198,407,239 is 370493402400.

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 529 x 198 x 407 x 239 = 8150854852800

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

529 : 1, 23, 529

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

407 : 1, 11, 37, 407

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,529,198,407,239, is 1.

Now, the common factors can be found like this.

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

529:23x 23

198:2x 3x 3x 11

407:11x 37

239:239

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 8150854852800/(1x22)

LCM = 8150854852800/22

LCM = 370493402400

Thus, we can understand that the LCM of 800,529,198,407,239 is 370493402400.

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

• LCM of 591, 328, 528, 969, 745
• LCM of 723, 247, 400, 654, 617
• LCM of 161, 754, 145, 727, 662
• LCM of 541, 614, 241, 189, 396
• LCM of 480, 279, 207, 779, 422

1. What is the LCM of 800, 529, 198, 407, 239?

Answer: LCM of 800, 529, 198, 407, 239 is 370493402400.

2. How to calculate the LCM of 800, 529, 198, 407, 239?

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, 529, 198, 407, 239.

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}.