Given numbers are 460,305,363,334

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

The LCM of 460,305,363,334 is 1701025260.

Find LCM of 460,305,363,334 with Prime Factorization

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

2 x 5 x 46 x 61 x 363 x 167 = 1701025260

Therefore, the lowest common multiple of 460,305,363,334 is 1701025260.

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 305 x 363 x 334 = 17010252600

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

305 : 1, 5, 61, 305

363 : 1, 3, 11, 33, 121, 363

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,305,363,334, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

305:5x 61

363:3x 11x 11

334:2x 167

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 = 17010252600/(1x10)

LCM = 17010252600/10

LCM = 1701025260

Thus, we can understand that the LCM of 460,305,363,334 is 1701025260.

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

• LCM of 745, 448, 592, 662
• LCM of 854, 156, 588, 981
• LCM of 284, 900, 536, 721
• LCM of 562, 578, 671, 464
• LCM of 265, 907, 396, 406

1. What is the LCM of 460, 305, 363, 334?

Answer: LCM of 460, 305, 363, 334 is 1701025260.

2. How to calculate the LCM of 460, 305, 363, 334?

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, 305, 363, 334.

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}.