Given numbers are 507,584,466,308,206

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

The LCM of 507,584,466,308,206 is 547147825224.

Find LCM of 507,584,466,308,206 with Prime Factorization

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

2 x 2 x 507 x 146 x 233 x 77 x 103 = 547147825224

Therefore, the lowest common multiple of 507,584,466,308,206 is 547147825224.

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.

507 x 584 x 466 x 308 x 206 = 8754365203584

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.

507 : 1, 3, 13, 39, 169, 507

584 : 1, 2, 4, 8, 73, 146, 292, 584

466 : 1, 2, 233, 466

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,584,466,308,206, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

584:2x 2x 2x 73

466:2x 233

308:2x 2x 7x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8754365203584/(1x16)

LCM = 8754365203584/16

LCM = 547147825224

Thus, we can understand that the LCM of 507,584,466,308,206 is 547147825224.

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

• LCM of 471, 652, 850, 429, 210
• LCM of 527, 240, 327, 990, 366
• LCM of 362, 496, 310, 422, 822
• LCM of 936, 458, 855, 300, 305
• LCM of 154, 936, 324, 527, 434

1. What is the LCM of 507, 584, 466, 308, 206?

Answer: LCM of 507, 584, 466, 308, 206 is 547147825224.

2. How to calculate the LCM of 507, 584, 466, 308, 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 507, 584, 466, 308, 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}.