Given numbers are 317,305,674,966

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

The LCM of 317,305,674,966 is 31475028270.

Find LCM of 317,305,674,966 with Prime Factorization

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

2 x 317 x 305 x 337 x 483 = 31475028270

Therefore, the lowest common multiple of 317,305,674,966 is 31475028270.

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 305 x 674 x 966 = 62950056540

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

305 : 1, 5, 61, 305

674 : 1, 2, 337, 674

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,305,674,966, is 1.

Now, the common factors can be found like this.

317:317

305:5x 61

674:2x 337

966:2x 3x 7x 23

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 = 62950056540/(1x2)

LCM = 62950056540/2

LCM = 31475028270

Thus, we can understand that the LCM of 317,305,674,966 is 31475028270.

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

• LCM of 291, 632, 123, 864
• LCM of 251, 969, 108, 632
• LCM of 555, 899, 871, 913
• LCM of 609, 218, 993, 400
• LCM of 284, 120, 903, 794

1. What is the LCM of 317, 305, 674, 966?

Answer: LCM of 317, 305, 674, 966 is 31475028270.

2. How to calculate the LCM of 317, 305, 674, 966?

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, 305, 674, 966.

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}.