Given numbers are 312,582,436,331,452

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

The LCM of 312,582,436,331,452 is 123384118728.

Find LCM of 312,582,436,331,452 with Prime Factorization

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

2 x 2 x 3 x 26 x 97 x 109 x 331 x 113 = 123384118728

Therefore, the lowest common multiple of 312,582,436,331,452 is 123384118728.

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 582 x 436 x 331 x 452 = 11844875397888

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

436 : 1, 2, 4, 109, 218, 436

331 : 1, 331

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,582,436,331,452, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

582:2x 3x 97

436:2x 2x 109

331:331

452:2x 2x 113

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 3 = 96

Therefore, the value for common factors is 96.

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 = 11844875397888/(1x96)

LCM = 11844875397888/96

LCM = 123384118728

Thus, we can understand that the LCM of 312,582,436,331,452 is 123384118728.

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

• LCM of 751, 261, 882, 607, 436
• LCM of 371, 180, 934, 459, 256
• LCM of 715, 703, 692, 309, 857
• LCM of 502, 461, 670, 196, 634
• LCM of 451, 322, 988, 144, 724

1. What is the LCM of 312, 582, 436, 331, 452?

Answer: LCM of 312, 582, 436, 331, 452 is 123384118728.

2. How to calculate the LCM of 312, 582, 436, 331, 452?

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, 582, 436, 331, 452.

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}.