Given numbers are 317,304,317,465

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

The LCM of 317,304,317,465 is 44811120.

Find LCM of 317,304,317,465 with Prime Factorization

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

317 x 1 x 304 x 1 x 465 = 44811120

Therefore, the lowest common multiple of 317,304,317,465 is 44811120.

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 304 x 317 x 465 = 14205125040

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

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

317 : 1, 317

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,304,317,465, is 1.

Now, the common factors can be found like this.

317:317

304:2x 2x 2x 2x 19

317:317

465:3x 5x 31

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

317 = 317

Therefore, the value for common factors is 317.

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 = 14205125040/(1x317)

LCM = 14205125040/317

LCM = 44811120

Thus, we can understand that the LCM of 317,304,317,465 is 44811120.

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

• LCM of 956, 847, 951, 210
• LCM of 198, 740, 990, 386
• LCM of 408, 460, 477, 896
• LCM of 707, 914, 466, 266
• LCM of 194, 943, 987, 337

1. What is the LCM of 317, 304, 317, 465?

Answer: LCM of 317, 304, 317, 465 is 44811120.

2. How to calculate the LCM of 317, 304, 317, 465?

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, 304, 317, 465.

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}.