Given numbers are 518,312,667,286,460

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

The LCM of 518,312,667,286,460 is 2964441480.

Find LCM of 518,312,667,286,460 with Prime Factorization

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

2 x 2 x 13 x 23 x 259 x 6 x 29 x 11 x 5 = 2964441480

Therefore, the lowest common multiple of 518,312,667,286,460 is 2964441480.

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.

518 x 312 x 667 x 286 x 460 = 14181888040320

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

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

667 : 1, 23, 29, 667

286 : 1, 2, 11, 13, 22, 26, 143, 286

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 518,312,667,286,460, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

312:2x 2x 2x 3x 13

667:23x 29

286:2x 11x 13

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.

2x 2x 2x 2x 13x 23 = 4784

Therefore, the value for common factors is 4784.

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 = 14181888040320/(1x4784)

LCM = 14181888040320/4784

LCM = 2964441480

Thus, we can understand that the LCM of 518,312,667,286,460 is 2964441480.

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

• LCM of 111, 183, 698, 271, 126
• LCM of 362, 860, 330, 874, 822
• LCM of 823, 499, 677, 768, 757
• LCM of 815, 976, 621, 246, 472
• LCM of 564, 304, 709, 784, 617

1. What is the LCM of 518, 312, 667, 286, 460?

Answer: LCM of 518, 312, 667, 286, 460 is 2964441480.

2. How to calculate the LCM of 518, 312, 667, 286, 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 518, 312, 667, 286, 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}.