Given numbers are 460,315,331

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

The LCM of 460,315,331 is 9592380.

Find LCM of 460,315,331 with Prime Factorization

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

5 x 92 x 63 x 331 = 9592380

Therefore, the lowest common multiple of 460,315,331 is 9592380.

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 315 x 331 = 47961900

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,315,331, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

315:3x 3x 5x 7

331:331

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

5 = 5

Therefore, the value for common factors is 5.

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 = 47961900/(1x5)

LCM = 47961900/5

LCM = 9592380

Thus, we can understand that the LCM of 460,315,331 is 9592380.

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

• LCM of 587, 833, 530
• LCM of 142, 557, 709
• LCM of 692, 152, 184
• LCM of 614, 683, 305
• LCM of 538, 762, 902

1. What is the LCM of 460, 315, 331?

Answer: LCM of 460, 315, 331 is 9592380.

2. How to calculate the LCM of 460, 315, 331?

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, 315, 331.

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}.