Given numbers are 460,319,327,849

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

The LCM of 460,319,327,849 is 13579466340.

Find LCM of 460,319,327,849 with Prime Factorization

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

3 x 460 x 319 x 109 x 283 = 13579466340

Therefore, the lowest common multiple of 460,319,327,849 is 13579466340.

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.

460 x 319 x 327 x 849 = 40738399020

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.

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

319 : 1, 11, 29, 319

327 : 1, 3, 109, 327

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,319,327,849, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

319:11x 29

327:3x 109

849:3x 283

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 = 40738399020/(1x3)

LCM = 40738399020/3

LCM = 13579466340

Thus, we can understand that the LCM of 460,319,327,849 is 13579466340.

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

• LCM of 758, 291, 377, 346
• LCM of 554, 596, 805, 482
• LCM of 158, 855, 496, 387
• LCM of 715, 659, 468, 741
• LCM of 800, 801, 673, 167

1. What is the LCM of 460, 319, 327, 849?

Answer: LCM of 460, 319, 327, 849 is 13579466340.

2. How to calculate the LCM of 460, 319, 327, 849?

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 460, 319, 327, 849.

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}.