Given numbers are 317,596,936,361

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

The LCM of 317,596,936,361 is 15959841768.

Find LCM of 317,596,936,361 with Prime Factorization

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

2 x 2 x 317 x 149 x 234 x 361 = 15959841768

Therefore, the lowest common multiple of 317,596,936,361 is 15959841768.

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 596 x 936 x 361 = 63839367072

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

596 : 1, 2, 4, 149, 298, 596

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,596,936,361, is 1.

Now, the common factors can be found like this.

317:317

596:2x 2x 149

936:2x 2x 2x 3x 3x 13

361:19x 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 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 = 63839367072/(1x4)

LCM = 63839367072/4

LCM = 15959841768

Thus, we can understand that the LCM of 317,596,936,361 is 15959841768.

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

• LCM of 855, 350, 872, 280
• LCM of 108, 375, 173, 311
• LCM of 697, 425, 434, 269
• LCM of 293, 613, 936, 357
• LCM of 936, 511, 247, 710

1. What is the LCM of 317, 596, 936, 361?

Answer: LCM of 317, 596, 936, 361 is 15959841768.

2. How to calculate the LCM of 317, 596, 936, 361?

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, 596, 936, 361.

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}.