Given numbers are 313,646,738,508

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

The LCM of 313,646,738,508 is 18951209748.

Find LCM of 313,646,738,508 with Prime Factorization

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

2 x 313 x 323 x 369 x 254 = 18951209748

Therefore, the lowest common multiple of 313,646,738,508 is 18951209748.

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.

313 x 646 x 738 x 508 = 75804838992

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.

313 : 1, 313

646 : 1, 2, 17, 19, 34, 38, 323, 646

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,646,738,508, is 1.

Now, the common factors can be found like this.

313:313

646:2x 17x 19

738:2x 3x 3x 41

508:2x 2x 127

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 = 75804838992/(1x4)

LCM = 75804838992/4

LCM = 18951209748

Thus, we can understand that the LCM of 313,646,738,508 is 18951209748.

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

• LCM of 270, 380, 632, 624
• LCM of 812, 949, 409, 272
• LCM of 637, 601, 897, 874
• LCM of 664, 345, 101, 132
• LCM of 468, 852, 343, 840

1. What is the LCM of 313, 646, 738, 508?

Answer: LCM of 313, 646, 738, 508 is 18951209748.

2. How to calculate the LCM of 313, 646, 738, 508?

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 313, 646, 738, 508.

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}.