Given numbers are 965,115,315,317

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

The LCM of 965,115,315,317 is 443256345.

Find LCM of 965,115,315,317 with Prime Factorization

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

5 x 193 x 23 x 63 x 317 = 443256345

Therefore, the lowest common multiple of 965,115,315,317 is 443256345.

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.

965 x 115 x 315 x 317 = 11081408625

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.

965 : 1, 5, 193, 965

115 : 1, 5, 23, 115

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,115,315,317, is 1.

Now, the common factors can be found like this.

965:5x 193

115:5x 23

315:3x 3x 5x 7

317:317

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 11081408625/(1x25)

LCM = 11081408625/25

LCM = 443256345

Thus, we can understand that the LCM of 965,115,315,317 is 443256345.

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

• LCM of 629, 629, 581, 729
• LCM of 786, 123, 607, 286
• LCM of 516, 549, 756, 298
• LCM of 662, 672, 863, 205
• LCM of 430, 226, 245, 742

1. What is the LCM of 965, 115, 315, 317?

Answer: LCM of 965, 115, 315, 317 is 443256345.

2. How to calculate the LCM of 965, 115, 315, 317?

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 965, 115, 315, 317.

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}.