Given numbers are 312,272,806,828

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

The LCM of 312,272,806,828 is 22690512.

Find LCM of 312,272,806,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 34 x 31 x 69 = 22690512

Therefore, the lowest common multiple of 312,272,806,828 is 22690512.

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 272 x 806 x 828 = 56635517952

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

806 : 1, 2, 13, 26, 31, 62, 403, 806

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,272,806,828, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

272:2x 2x 2x 2x 17

806:2x 13x 31

828:2x 2x 3x 3x 23

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 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 56635517952/(2x1248)

LCM = 56635517952/2496

LCM = 22690512

Thus, we can understand that the LCM of 312,272,806,828 is 22690512.

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

• LCM of 551, 145, 596, 837
• LCM of 357, 466, 920, 153
• LCM of 878, 973, 667, 405
• LCM of 712, 646, 930, 550
• LCM of 696, 229, 287, 795

1. What is the LCM of 312, 272, 806, 828?

Answer: LCM of 312, 272, 806, 828 is 22690512.

2. How to calculate the LCM of 312, 272, 806, 828?

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, 272, 806, 828.

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}.