Given numbers are 323,214,460,265

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

The LCM of 323,214,460,265 is 842597180.

Find LCM of 323,214,460,265 with Prime Factorization

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

2 x 5 x 323 x 107 x 46 x 53 = 842597180

Therefore, the lowest common multiple of 323,214,460,265 is 842597180.

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.

323 x 214 x 460 x 265 = 8425971800

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.

323 : 1, 17, 19, 323

214 : 1, 2, 107, 214

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,214,460,265, is 1.

Now, the common factors can be found like this.

323:17x 19

214:2x 107

460:2x 2x 5x 23

265:5x 53

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 8425971800/(1x10)

LCM = 8425971800/10

LCM = 842597180

Thus, we can understand that the LCM of 323,214,460,265 is 842597180.

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

• LCM of 401, 867, 948, 622
• LCM of 721, 816, 201, 936
• LCM of 308, 167, 994, 905
• LCM of 638, 681, 707, 178
• LCM of 876, 176, 697, 478

1. What is the LCM of 323, 214, 460, 265?

Answer: LCM of 323, 214, 460, 265 is 842597180.

2. How to calculate the LCM of 323, 214, 460, 265?

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 323, 214, 460, 265.

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}.