Given numbers are 317,464,304,209

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

The LCM of 317,464,304,209 is 30741392.

Find LCM of 317,464,304,209 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 317 x 29 x 1 x 11 = 30741392

Therefore, the lowest common multiple of 317,464,304,209 is 30741392.

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.

317 x 464 x 304 x 209 = 9345383168

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.

317 : 1, 317

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,464,304,209, is 1.

Now, the common factors can be found like this.

317:317

464:2x 2x 2x 2x 29

304:2x 2x 2x 2x 19

209:11x 19

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 19 = 304

Therefore, the value for common factors is 304.

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 = 9345383168/(1x304)

LCM = 9345383168/304

LCM = 30741392

Thus, we can understand that the LCM of 317,464,304,209 is 30741392.

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

• LCM of 865, 129, 186, 745
• LCM of 673, 155, 420, 948
• LCM of 174, 817, 860, 618
• LCM of 309, 517, 446, 593
• LCM of 356, 314, 514, 926

1. What is the LCM of 317, 464, 304, 209?

Answer: LCM of 317, 464, 304, 209 is 30741392.

2. How to calculate the LCM of 317, 464, 304, 209?

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 317, 464, 304, 209.

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}.