Given numbers are 313,507,984

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

The LCM of 313,507,984 is 52050648.

Find LCM of 313,507,984 with Prime Factorization

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

3 x 313 x 169 x 328 = 52050648

Therefore, the lowest common multiple of 313,507,984 is 52050648.

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 507 x 984 = 156151944

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

507 : 1, 3, 13, 39, 169, 507

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,507,984, is 1.

Now, the common factors can be found like this.

313:313

507:3x 13x 13

984:2x 2x 2x 3x 41

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

3 = 3

Therefore, the value for common factors is 3.

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 = 156151944/(1x3)

LCM = 156151944/3

LCM = 52050648

Thus, we can understand that the LCM of 313,507,984 is 52050648.

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

• LCM of 387, 576, 908
• LCM of 539, 209, 513
• LCM of 928, 970, 216
• LCM of 360, 369, 706
• LCM of 367, 130, 284

1. What is the LCM of 313, 507, 984?

Answer: LCM of 313, 507, 984 is 52050648.

2. How to calculate the LCM of 313, 507, 984?

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, 507, 984.

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}.