Given numbers are 386,205,114,212

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

The LCM of 386,205,114,212 is 478103460.

Find LCM of 386,205,114,212 with Prime Factorization

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

2 x 193 x 205 x 57 x 106 = 478103460

Therefore, the lowest common multiple of 386,205,114,212 is 478103460.

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.

386 x 205 x 114 x 212 = 1912413840

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.

386 : 1, 2, 193, 386

205 : 1, 5, 41, 205

114 : 1, 2, 3, 6, 19, 38, 57, 114

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,205,114,212, is 1.

Now, the common factors can be found like this.

386:2x 193

205:5x 41

114:2x 3x 19

212:2x 2x 53

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 = 1912413840/(1x4)

LCM = 1912413840/4

LCM = 478103460

Thus, we can understand that the LCM of 386,205,114,212 is 478103460.

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

• LCM of 361, 105, 443, 529
• LCM of 418, 343, 177, 664
• LCM of 772, 286, 246, 215
• LCM of 847, 537, 300, 436
• LCM of 601, 322, 626, 772

1. What is the LCM of 386, 205, 114, 212?

Answer: LCM of 386, 205, 114, 212 is 478103460.

2. How to calculate the LCM of 386, 205, 114, 212?

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 386, 205, 114, 212.

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}.