Given numbers are 309,206,707,566

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

The LCM of 309,206,707,566 is 123650058.

Find LCM of 309,206,707,566 with Prime Factorization

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

2 x 103 x 3 x 1 x 707 x 283 = 123650058

Therefore, the lowest common multiple of 309,206,707,566 is 123650058.

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.

309 x 206 x 707 x 566 = 25471911948

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.

309 : 1, 3, 103, 309

206 : 1, 2, 103, 206

707 : 1, 7, 101, 707

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,206,707,566, is 1.

Now, the common factors can be found like this.

309:3x 103

206:2x 103

707:7x 101

566:2x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 25471911948/(1x206)

LCM = 25471911948/206

LCM = 123650058

Thus, we can understand that the LCM of 309,206,707,566 is 123650058.

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

• LCM of 309, 731, 380, 265
• LCM of 742, 342, 132, 143
• LCM of 325, 293, 302, 872
• LCM of 460, 258, 643, 466
• LCM of 873, 830, 555, 697

1. What is the LCM of 309, 206, 707, 566?

Answer: LCM of 309, 206, 707, 566 is 123650058.

2. How to calculate the LCM of 309, 206, 707, 566?

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 309, 206, 707, 566.

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}.