Given numbers are 346,728,317,315

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

The LCM of 346,728,317,315 is 1796591160.

Find LCM of 346,728,317,315 with Prime Factorization

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

2 x 7 x 173 x 52 x 317 x 45 = 1796591160

Therefore, the lowest common multiple of 346,728,317,315 is 1796591160.

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.

346 x 728 x 317 x 315 = 25152276240

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.

346 : 1, 2, 173, 346

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

317 : 1, 317

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,728,317,315, is 1.

Now, the common factors can be found like this.

346:2x 173

728:2x 2x 2x 7x 13

317:317

315:3x 3x 5x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 25152276240/(1x14)

LCM = 25152276240/14

LCM = 1796591160

Thus, we can understand that the LCM of 346,728,317,315 is 1796591160.

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

• LCM of 743, 820, 270, 338
• LCM of 588, 618, 649, 187
• LCM of 106, 935, 930, 212
• LCM of 721, 196, 468, 735
• LCM of 731, 529, 213, 615

1. What is the LCM of 346, 728, 317, 315?

Answer: LCM of 346, 728, 317, 315 is 1796591160.

2. How to calculate the LCM of 346, 728, 317, 315?

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 346, 728, 317, 315.

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}.