Given numbers are 460,391,485,508

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

The LCM of 460,391,485,508 is 96334580.

Find LCM of 460,391,485,508 with Prime Factorization

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

2 x 2 x 5 x 23 x 1 x 17 x 97 x 127 = 96334580

Therefore, the lowest common multiple of 460,391,485,508 is 96334580.

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 391 x 485 x 508 = 44313906800

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

391 : 1, 17, 23, 391

485 : 1, 5, 97, 485

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,391,485,508, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

391:17x 23

485:5x 97

508:2x 2x 127

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

2x 2x 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 44313906800/(1x460)

LCM = 44313906800/460

LCM = 96334580

Thus, we can understand that the LCM of 460,391,485,508 is 96334580.

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

• LCM of 991, 755, 764, 379
• LCM of 833, 492, 492, 305
• LCM of 593, 562, 968, 822
• LCM of 897, 101, 439, 417
• LCM of 485, 405, 772, 791

1. What is the LCM of 460, 391, 485, 508?

Answer: LCM of 460, 391, 485, 508 is 96334580.

2. How to calculate the LCM of 460, 391, 485, 508?

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, 391, 485, 508.

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}.