Given numbers are 317,208,431,814,993

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

The LCM of 317,208,431,814,993 is 11485331244816.

Find LCM of 317,208,431,814,993 with Prime Factorization

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

2 x 317 x 104 x 431 x 407 x 993 = 11485331244816

Therefore, the lowest common multiple of 317,208,431,814,993 is 11485331244816.

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 208 x 431 x 814 x 993 = 22970662489632

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

431 : 1, 431

814 : 1, 2, 11, 22, 37, 74, 407, 814

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,208,431,814,993, is 1.

Now, the common factors can be found like this.

317:317

208:2x 2x 2x 2x 13

431:431

814:2x 11x 37

993:3x 331

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22970662489632/(1x2)

LCM = 22970662489632/2

LCM = 11485331244816

Thus, we can understand that the LCM of 317,208,431,814,993 is 11485331244816.

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

• LCM of 213, 872, 616, 762, 842
• LCM of 174, 790, 521, 421, 544
• LCM of 953, 303, 149, 230, 410
• LCM of 760, 958, 254, 899, 447
• LCM of 204, 968, 696, 619, 791

1. What is the LCM of 317, 208, 431, 814, 993?

Answer: LCM of 317, 208, 431, 814, 993 is 11485331244816.

2. How to calculate the LCM of 317, 208, 431, 814, 993?

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, 208, 431, 814, 993.

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}.