Given numbers are 914,214,486,212,206

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

The LCM of 914,214,486,212,206 is 259465331052.

Find LCM of 914,214,486,212,206 with Prime Factorization

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

2 x 457 x 107 x 243 x 106 x 103 = 259465331052

Therefore, the lowest common multiple of 914,214,486,212,206 is 259465331052.

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.

914 x 214 x 486 x 212 x 206 = 4151445296832

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.

914 : 1, 2, 457, 914

214 : 1, 2, 107, 214

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

206 : 1, 2, 103, 206

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,214,486,212,206, is 2.

Now, the common factors can be found like this.

914:2x 457

214:2x 107

486:2x 3x 3x 3x 3x 3

212:2x 2x 53

206:2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 4151445296832/(2x8)

LCM = 4151445296832/16

LCM = 259465331052

Thus, we can understand that the LCM of 914,214,486,212,206 is 259465331052.

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

• LCM of 455, 187, 147, 674, 240
• LCM of 644, 511, 184, 529, 147
• LCM of 990, 970, 281, 366, 615
• LCM of 662, 587, 619, 809, 357
• LCM of 100, 633, 844, 997, 769

1. What is the LCM of 914, 214, 486, 212, 206?

Answer: LCM of 914, 214, 486, 212, 206 is 259465331052.

2. How to calculate the LCM of 914, 214, 486, 212, 206?

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 914, 214, 486, 212, 206.

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}.