Given numbers are 807,850,202,414,814

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

The LCM of 807,850,202,414,814 is 1945616918850.

Find LCM of 807,850,202,414,814 with Prime Factorization

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

2 x 3 x 269 x 425 x 101 x 69 x 407 = 1945616918850

Therefore, the lowest common multiple of 807,850,202,414,814 is 1945616918850.

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.

807 x 850 x 202 x 414 x 814 = 46694806052400

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.

807 : 1, 3, 269, 807

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

202 : 1, 2, 101, 202

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,850,202,414,814, is 1.

Now, the common factors can be found like this.

807:3x 269

850:2x 5x 5x 17

202:2x 101

414:2x 3x 3x 23

814:2x 11x 37

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 3 = 24

Therefore, the value for common factors is 24.

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 = 46694806052400/(1x24)

LCM = 46694806052400/24

LCM = 1945616918850

Thus, we can understand that the LCM of 807,850,202,414,814 is 1945616918850.

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

• LCM of 800, 304, 976, 893, 438
• LCM of 884, 431, 757, 516, 360
• LCM of 463, 448, 936, 397, 642
• LCM of 645, 596, 197, 302, 995
• LCM of 917, 612, 272, 887, 439

1. What is the LCM of 807, 850, 202, 414, 814?

Answer: LCM of 807, 850, 202, 414, 814 is 1945616918850.

2. How to calculate the LCM of 807, 850, 202, 414, 814?

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 807, 850, 202, 414, 814.

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}.