Given numbers are 131,675,317,517,312

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

The LCM of 131,675,317,517,312 is 1507156021800.

Find LCM of 131,675,317,517,312 with Prime Factorization

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

3 x 131 x 225 x 317 x 517 x 104 = 1507156021800

Therefore, the lowest common multiple of 131,675,317,517,312 is 1507156021800.

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.

131 x 675 x 317 x 517 x 312 = 4521468065400

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.

131 : 1, 131

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

317 : 1, 317

517 : 1, 11, 47, 517

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,675,317,517,312, is 1.

Now, the common factors can be found like this.

131:131

675:3x 3x 3x 5x 5

317:317

517:11x 47

312:2x 2x 2x 3x 13

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 = 4521468065400/(1x3)

LCM = 4521468065400/3

LCM = 1507156021800

Thus, we can understand that the LCM of 131,675,317,517,312 is 1507156021800.

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

• LCM of 437, 396, 283, 745, 436
• LCM of 743, 193, 573, 962, 353
• LCM of 782, 397, 895, 319, 830
• LCM of 700, 792, 577, 214, 573
• LCM of 333, 721, 221, 638, 655

1. What is the LCM of 131, 675, 317, 517, 312?

Answer: LCM of 131, 675, 317, 517, 312 is 1507156021800.

2. How to calculate the LCM of 131, 675, 317, 517, 312?

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 131, 675, 317, 517, 312.

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}.