Given numbers are 456,206,346,218,206

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

The LCM of 456,206,346,218,206 is 885675576.

Find LCM of 456,206,346,218,206 with Prime Factorization

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

2 x 103 x 228 x 1 x 173 x 109 x 1 = 885675576

Therefore, the lowest common multiple of 456,206,346,218,206 is 885675576.

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.

456 x 206 x 346 x 218 x 206 = 1459593349248

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

206 : 1, 2, 103, 206

346 : 1, 2, 173, 346

218 : 1, 2, 109, 218

206 : 1, 2, 103, 206

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,206,346,218,206, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

206:2x 103

346:2x 173

218:2x 109

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 2x 103 = 824

Therefore, the value for common factors is 824.

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 = 1459593349248/(2x824)

LCM = 1459593349248/1648

LCM = 885675576

Thus, we can understand that the LCM of 456,206,346,218,206 is 885675576.

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

• LCM of 796, 879, 761, 248, 984
• LCM of 198, 147, 275, 653, 460
• LCM of 914, 991, 412, 953, 436
• LCM of 273, 913, 371, 381, 250
• LCM of 507, 963, 906, 448, 649

1. What is the LCM of 456, 206, 346, 218, 206?

Answer: LCM of 456, 206, 346, 218, 206 is 885675576.

2. How to calculate the LCM of 456, 206, 346, 218, 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 456, 206, 346, 218, 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}.