Given numbers are 323,221,361,460

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

The LCM of 323,221,361,460 is 36699260.

Find LCM of 323,221,361,460 with Prime Factorization

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

17 x 19 x 1 x 13 x 19 x 460 = 36699260

Therefore, the lowest common multiple of 323,221,361,460 is 36699260.

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 221 x 361 x 460 = 11853860980

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

221 : 1, 13, 17, 221

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,221,361,460, is 1.

Now, the common factors can be found like this.

323:17x 19

221:13x 17

361:19x 19

460:2x 2x 5x 23

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 11853860980/(1x323)

LCM = 11853860980/323

LCM = 36699260

Thus, we can understand that the LCM of 323,221,361,460 is 36699260.

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

• LCM of 739, 669, 588, 217
• LCM of 465, 717, 114, 988
• LCM of 705, 764, 266, 713
• LCM of 812, 159, 796, 759
• LCM of 509, 855, 383, 105

1. What is the LCM of 323, 221, 361, 460?

Answer: LCM of 323, 221, 361, 460 is 36699260.

2. How to calculate the LCM of 323, 221, 361, 460?

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, 221, 361, 460.

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}.