Given numbers are 312,858,306,234,259

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

The LCM of 312,858,306,234,259 is 45333288.

Find LCM of 312,858,306,234,259 with Prime Factorization

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

2 x 3 x 3 x 13 x 4 x 11 x 17 x 1 x 259 = 45333288

Therefore, the lowest common multiple of 312,858,306,234,259 is 45333288.

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 858 x 306 x 234 x 259 = 4964539035456

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,858,306,234,259, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

858:2x 3x 11x 13

306:2x 3x 3x 17

234:2x 3x 3x 13

259:7x 37

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 3x 3x 3x 3x 13x 13 = 109512

Therefore, the value for common factors is 109512.

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 = 4964539035456/(1x109512)

LCM = 4964539035456/109512

LCM = 45333288

Thus, we can understand that the LCM of 312,858,306,234,259 is 45333288.

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

• LCM of 287, 222, 384, 731, 987
• LCM of 231, 160, 656, 224, 861
• LCM of 935, 824, 411, 681, 599
• LCM of 940, 703, 501, 200, 457
• LCM of 529, 435, 335, 479, 628

1. What is the LCM of 312, 858, 306, 234, 259?

Answer: LCM of 312, 858, 306, 234, 259 is 45333288.

2. How to calculate the LCM of 312, 858, 306, 234, 259?

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, 858, 306, 234, 259.

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}.