Given numbers are 317,304,493,936

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

The LCM of 317,304,493,936 is 5558602608.

Find LCM of 317,304,493,936 with Prime Factorization

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

2 x 2 x 2 x 317 x 38 x 493 x 117 = 5558602608

Therefore, the lowest common multiple of 317,304,493,936 is 5558602608.

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 493 x 936 = 44468820864

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

493 : 1, 17, 29, 493

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,304,493,936, is 1.

Now, the common factors can be found like this.

317:317

304:2x 2x 2x 2x 19

493:17x 29

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

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 2 = 8

Therefore, the value for common factors is 8.

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 = 44468820864/(1x8)

LCM = 44468820864/8

LCM = 5558602608

Thus, we can understand that the LCM of 317,304,493,936 is 5558602608.

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

• LCM of 912, 955, 999, 309
• LCM of 864, 178, 888, 819
• LCM of 943, 499, 543, 339
• LCM of 370, 146, 167, 804
• LCM of 452, 916, 516, 373

1. What is the LCM of 317, 304, 493, 936?

Answer: LCM of 317, 304, 493, 936 is 5558602608.

2. How to calculate the LCM of 317, 304, 493, 936?

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, 493, 936.

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}.