Given numbers are 513,317,798,993

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

The LCM of 513,317,798,993 is 753585714.

Find LCM of 513,317,798,993 with Prime Factorization

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

3 x 19 x 9 x 317 x 14 x 331 = 753585714

Therefore, the lowest common multiple of 513,317,798,993 is 753585714.

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.

513 x 317 x 798 x 993 = 128863157094

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

317 : 1, 317

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,317,798,993, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

317:317

798:2x 3x 7x 19

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.

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 128863157094/(1x171)

LCM = 128863157094/171

LCM = 753585714

Thus, we can understand that the LCM of 513,317,798,993 is 753585714.

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

• LCM of 802, 105, 436, 784
• LCM of 626, 307, 238, 238
• LCM of 241, 293, 297, 100
• LCM of 784, 282, 876, 451
• LCM of 413, 770, 251, 223

1. What is the LCM of 513, 317, 798, 993?

Answer: LCM of 513, 317, 798, 993 is 753585714.

2. How to calculate the LCM of 513, 317, 798, 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 513, 317, 798, 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}.