Given numbers are 316,312,988,352

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

The LCM of 316,312,988,352 is 20605728.

Find LCM of 316,312,988,352 with Prime Factorization

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

2 x 2 x 2 x 13 x 79 x 3 x 19 x 44 = 20605728

Therefore, the lowest common multiple of 316,312,988,352 is 20605728.

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.

316 x 312 x 988 x 352 = 34287931392

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.

316 : 1, 2, 4, 79, 158, 316

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,312,988,352, is 4.

Now, the common factors can be found like this.

316:2x 2x 79

312:2x 2x 2x 3x 13

988:2x 2x 13x 19

352:2x 2x 2x 2x 2x 11

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 13 = 416

Therefore, the value for common factors is 416.

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 = 34287931392/(4x416)

LCM = 34287931392/1664

LCM = 20605728

Thus, we can understand that the LCM of 316,312,988,352 is 20605728.

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

• LCM of 169, 508, 432, 602
• LCM of 667, 749, 193, 696
• LCM of 835, 877, 668, 417
• LCM of 628, 603, 120, 432
• LCM of 132, 527, 510, 394

1. What is the LCM of 316, 312, 988, 352?

Answer: LCM of 316, 312, 988, 352 is 20605728.

2. How to calculate the LCM of 316, 312, 988, 352?

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 316, 312, 988, 352.

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}.