Given numbers are 460,900,304,312

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

The LCM of 460,900,304,312 is 20451600.

Find LCM of 460,900,304,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 15 x 38 x 13 = 20451600

Therefore, the lowest common multiple of 460,900,304,312 is 20451600.

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 900 x 304 x 312 = 39267072000

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,900,304,312, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

900:2x 2x 3x 3x 5x 5

304:2x 2x 2x 2x 19

312:2x 2x 2x 3x 13

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 2x 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 39267072000/(4x480)

LCM = 39267072000/1920

LCM = 20451600

Thus, we can understand that the LCM of 460,900,304,312 is 20451600.

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

• LCM of 500, 652, 791, 515
• LCM of 466, 344, 856, 144
• LCM of 981, 929, 619, 706
• LCM of 185, 826, 612, 490
• LCM of 137, 163, 574, 184

1. What is the LCM of 460, 900, 304, 312?

Answer: LCM of 460, 900, 304, 312 is 20451600.

2. How to calculate the LCM of 460, 900, 304, 312?

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, 900, 304, 312.

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}.