Given numbers are 293,298,745,311

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

The LCM of 293,298,745,311 is 135773270.

Find LCM of 293,298,745,311 with Prime Factorization

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

149 x 293 x 2 x 5 x 311 = 135773270

Therefore, the lowest common multiple of 293,298,745,311 is 135773270.

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.

293 x 298 x 745 x 311 = 20230217230

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.

293 : 1, 293

298 : 1, 2, 149, 298

745 : 1, 5, 149, 745

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,298,745,311, is 1.

Now, the common factors can be found like this.

293:293

298:2x 149

745:5x 149

311:311

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

149 = 149

Therefore, the value for common factors is 149.

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 = 20230217230/(1x149)

LCM = 20230217230/149

LCM = 135773270

Thus, we can understand that the LCM of 293,298,745,311 is 135773270.

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

• LCM of 611, 935, 333, 422
• LCM of 315, 207, 153, 325
• LCM of 685, 304, 915, 676
• LCM of 560, 573, 123, 878
• LCM of 789, 985, 388, 454

1. What is the LCM of 293, 298, 745, 311?

Answer: LCM of 293, 298, 745, 311 is 135773270.

2. How to calculate the LCM of 293, 298, 745, 311?

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 293, 298, 745, 311.

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}.