Given numbers are 205,283,336,412

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

The LCM of 205,283,336,412 is 2007783120.

Find LCM of 205,283,336,412 with Prime Factorization

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

2 x 2 x 205 x 283 x 84 x 103 = 2007783120

Therefore, the lowest common multiple of 205,283,336,412 is 2007783120.

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.

205 x 283 x 336 x 412 = 8031132480

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.

205 : 1, 5, 41, 205

283 : 1, 283

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 205,283,336,412, is 1.

Now, the common factors can be found like this.

205:5x 41

283:283

336:2x 2x 2x 2x 3x 7

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 2 = 4

Therefore, the value for common factors is 4.

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 = 8031132480/(1x4)

LCM = 8031132480/4

LCM = 2007783120

Thus, we can understand that the LCM of 205,283,336,412 is 2007783120.

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

• LCM of 355, 311, 651, 879
• LCM of 638, 723, 983, 917
• LCM of 354, 950, 413, 369
• LCM of 826, 815, 950, 956
• LCM of 979, 830, 484, 531

1. What is the LCM of 205, 283, 336, 412?

Answer: LCM of 205, 283, 336, 412 is 2007783120.

2. How to calculate the LCM of 205, 283, 336, 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 205, 283, 336, 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}.