Given numbers are 286,717,315,990,412

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

The LCM of 286,717,315,990,412 is 4435491060.

Find LCM of 286,717,315,990,412 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 13 x 239 x 7 x 1 x 206 = 4435491060

Therefore, the lowest common multiple of 286,717,315,990,412 is 4435491060.

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.

286 x 717 x 315 x 990 x 412 = 26346816896400

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

717 : 1, 3, 239, 717

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,717,315,990,412, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

717:3x 239

315:3x 3x 5x 7

990:2x 3x 3x 5x 11

412:2x 2x 103

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 3x 3x 3x 5x 11 = 5940

Therefore, the value for common factors is 5940.

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 = 26346816896400/(1x5940)

LCM = 26346816896400/5940

LCM = 4435491060

Thus, we can understand that the LCM of 286,717,315,990,412 is 4435491060.

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

• LCM of 427, 209, 705, 741, 346
• LCM of 920, 116, 897, 957, 867
• LCM of 544, 222, 935, 478, 749
• LCM of 777, 595, 678, 654, 405
• LCM of 716, 975, 912, 242, 129

1. What is the LCM of 286, 717, 315, 990, 412?

Answer: LCM of 286, 717, 315, 990, 412 is 4435491060.

2. How to calculate the LCM of 286, 717, 315, 990, 412?

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 286, 717, 315, 990, 412.

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}.