Given numbers are 319,982,312,267

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

The LCM of 319,982,312,267 is 4349274072.

Find LCM of 319,982,312,267 with Prime Factorization

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

2 x 3 x 319 x 491 x 52 x 89 = 4349274072

Therefore, the lowest common multiple of 319,982,312,267 is 4349274072.

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.

319 x 982 x 312 x 267 = 26095644432

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.

319 : 1, 11, 29, 319

982 : 1, 2, 491, 982

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

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,982,312,267, is 1.

Now, the common factors can be found like this.

319:11x 29

982:2x 491

312:2x 2x 2x 3x 13

267:3x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 26095644432/(1x6)

LCM = 26095644432/6

LCM = 4349274072

Thus, we can understand that the LCM of 319,982,312,267 is 4349274072.

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

• LCM of 300, 254, 147, 343
• LCM of 708, 989, 224, 323
• LCM of 745, 286, 439, 743
• LCM of 217, 762, 900, 525
• LCM of 623, 888, 408, 546

1. What is the LCM of 319, 982, 312, 267?

Answer: LCM of 319, 982, 312, 267 is 4349274072.

2. How to calculate the LCM of 319, 982, 312, 267?

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 319, 982, 312, 267.

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}.