Given numbers are 312,506,232,864

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

The LCM of 312,506,232,864 is 82409184.

Find LCM of 312,506,232,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 253 x 29 x 36 = 82409184

Therefore, the lowest common multiple of 312,506,232,864 is 82409184.

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.

312 x 506 x 232 x 864 = 31645126656

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.

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

232 : 1, 2, 4, 8, 29, 58, 116, 232

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,506,232,864, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

506:2x 11x 23

232:2x 2x 2x 29

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 31645126656/(2x192)

LCM = 31645126656/384

LCM = 82409184

Thus, we can understand that the LCM of 312,506,232,864 is 82409184.

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

• LCM of 590, 279, 552, 118
• LCM of 485, 344, 308, 434
• LCM of 706, 573, 521, 857
• LCM of 194, 851, 671, 550
• LCM of 886, 428, 756, 824

1. What is the LCM of 312, 506, 232, 864?

Answer: LCM of 312, 506, 232, 864 is 82409184.

2. How to calculate the LCM of 312, 506, 232, 864?

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 312, 506, 232, 864.

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}.