Given numbers are 460,341,296,389

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

The LCM of 460,341,296,389 is 4515371960.

Find LCM of 460,341,296,389 with Prime Factorization

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

2 x 2 x 115 x 341 x 74 x 389 = 4515371960

Therefore, the lowest common multiple of 460,341,296,389 is 4515371960.

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 341 x 296 x 389 = 18061487840

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

341 : 1, 11, 31, 341

296 : 1, 2, 4, 8, 37, 74, 148, 296

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,341,296,389, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

341:11x 31

296:2x 2x 2x 37

389:389

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18061487840/(1x4)

LCM = 18061487840/4

LCM = 4515371960

Thus, we can understand that the LCM of 460,341,296,389 is 4515371960.

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

• LCM of 239, 896, 126, 987
• LCM of 538, 144, 945, 764
• LCM of 691, 439, 396, 419
• LCM of 675, 885, 140, 942
• LCM of 431, 514, 868, 804

1. What is the LCM of 460, 341, 296, 389?

Answer: LCM of 460, 341, 296, 389 is 4515371960.

2. How to calculate the LCM of 460, 341, 296, 389?

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, 341, 296, 389.

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}.