Given numbers are 309,260,676,808

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

The LCM of 309,260,676,808 is 210972840.

Find LCM of 309,260,676,808 with Prime Factorization

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

2 x 2 x 13 x 309 x 5 x 13 x 202 = 210972840

Therefore, the lowest common multiple of 309,260,676,808 is 210972840.

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 260 x 676 x 808 = 43882350720

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,260,676,808, is 1.

Now, the common factors can be found like this.

309:3x 103

260:2x 2x 5x 13

676:2x 2x 13x 13

808:2x 2x 2x 101

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 43882350720/(1x208)

LCM = 43882350720/208

LCM = 210972840

Thus, we can understand that the LCM of 309,260,676,808 is 210972840.

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

• LCM of 404, 916, 685, 372
• LCM of 740, 404, 749, 620
• LCM of 893, 305, 600, 244
• LCM of 355, 479, 353, 719
• LCM of 194, 164, 275, 338

1. What is the LCM of 309, 260, 676, 808?

Answer: LCM of 309, 260, 676, 808 is 210972840.

2. How to calculate the LCM of 309, 260, 676, 808?

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, 260, 676, 808.

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}.