Given numbers are 326,928,437,368,312

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

The LCM of 326,928,437,368,312 is 2577992352.

Find LCM of 326,928,437,368,312 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 163 x 58 x 19 x 1 x 39 = 2577992352

Therefore, the lowest common multiple of 326,928,437,368,312 is 2577992352.

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.

326 x 928 x 437 x 368 x 312 = 15179218968576

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.

326 : 1, 2, 163, 326

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

437 : 1, 19, 23, 437

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,928,437,368,312, is 1.

Now, the common factors can be found like this.

326:2x 163

928:2x 2x 2x 2x 2x 29

437:19x 23

368:2x 2x 2x 2x 23

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 2x 2x 2x 23 = 5888

Therefore, the value for common factors is 5888.

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 = 15179218968576/(1x5888)

LCM = 15179218968576/5888

LCM = 2577992352

Thus, we can understand that the LCM of 326,928,437,368,312 is 2577992352.

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

• LCM of 165, 743, 909, 772, 786
• LCM of 262, 672, 144, 293, 944
• LCM of 613, 458, 943, 317, 912
• LCM of 578, 625, 503, 901, 164
• LCM of 326, 990, 406, 317, 115

1. What is the LCM of 326, 928, 437, 368, 312?

Answer: LCM of 326, 928, 437, 368, 312 is 2577992352.

2. How to calculate the LCM of 326, 928, 437, 368, 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 326, 928, 437, 368, 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}.