Given numbers are 317,829,191,900,772

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

The LCM of 317,829,191,900,772 is 8718604523100.

Find LCM of 317,829,191,900,772 with Prime Factorization

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

2 x 2 x 317 x 829 x 191 x 225 x 193 = 8718604523100

Therefore, the lowest common multiple of 317,829,191,900,772 is 8718604523100.

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 829 x 191 x 900 x 772 = 34874418092400

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

829 : 1, 829

191 : 1, 191

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,829,191,900,772, is 1.

Now, the common factors can be found like this.

317:317

829:829

191:191

900:2x 2x 3x 3x 5x 5

772:2x 2x 193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 34874418092400/(1x4)

LCM = 34874418092400/4

LCM = 8718604523100

Thus, we can understand that the LCM of 317,829,191,900,772 is 8718604523100.

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

• LCM of 455, 131, 112, 804, 348
• LCM of 394, 646, 921, 364, 605
• LCM of 580, 489, 697, 324, 519
• LCM of 719, 180, 911, 323, 467
• LCM of 616, 514, 629, 841, 478

1. What is the LCM of 317, 829, 191, 900, 772?

Answer: LCM of 317, 829, 191, 900, 772 is 8718604523100.

2. How to calculate the LCM of 317, 829, 191, 900, 772?

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, 829, 191, 900, 772.

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}.