Given numbers are 317,121,312,867

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

The LCM of 317,121,312,867 is 3458573976.

Find LCM of 317,121,312,867 with Prime Factorization

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

3 x 317 x 121 x 104 x 289 = 3458573976

Therefore, the lowest common multiple of 317,121,312,867 is 3458573976.

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 121 x 312 x 867 = 10375721928

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

121 : 1, 11, 121

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,121,312,867, is 1.

Now, the common factors can be found like this.

317:317

121:11x 11

312:2x 2x 2x 3x 13

867:3x 17x 17

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 = 10375721928/(1x3)

LCM = 10375721928/3

LCM = 3458573976

Thus, we can understand that the LCM of 317,121,312,867 is 3458573976.

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

• LCM of 111, 977, 277, 465
• LCM of 640, 129, 335, 347
• LCM of 707, 382, 515, 161
• LCM of 492, 477, 157, 800
• LCM of 914, 147, 182, 198

1. What is the LCM of 317, 121, 312, 867?

Answer: LCM of 317, 121, 312, 867 is 3458573976.

2. How to calculate the LCM of 317, 121, 312, 867?

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, 121, 312, 867.

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}.