Given numbers are 315,557,460

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

The LCM of 315,557,460 is 16141860.

Find LCM of 315,557,460 with Prime Factorization

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

5 x 63 x 557 x 92 = 16141860

Therefore, the lowest common multiple of 315,557,460 is 16141860.

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.

315 x 557 x 460 = 80709300

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.

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

557 : 1, 557

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,557,460, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

557:557

460:2x 2x 5x 23

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 = 80709300/(1x5)

LCM = 80709300/5

LCM = 16141860

Thus, we can understand that the LCM of 315,557,460 is 16141860.

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

• LCM of 108, 879, 826
• LCM of 214, 863, 384
• LCM of 418, 825, 878
• LCM of 565, 685, 682
• LCM of 915, 176, 370

1. What is the LCM of 315, 557, 460?

Answer: LCM of 315, 557, 460 is 16141860.

2. How to calculate the LCM of 315, 557, 460?

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 315, 557, 460.

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}.