Given numbers are 828,312,806,546

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

The LCM of 828,312,806,546 is 4671576.

Find LCM of 828,312,806,546 with Prime Factorization

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

2 x 2 x 3 x 13 x 69 x 2 x 31 x 7 = 4671576

Therefore, the lowest common multiple of 828,312,806,546 is 4671576.

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.

828 x 312 x 806 x 546 = 113687473536

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.

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

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

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,312,806,546, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

312:2x 2x 2x 3x 13

806:2x 13x 31

546:2x 3x 7x 13

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 13x 13 = 12168

Therefore, the value for common factors is 12168.

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 = 113687473536/(2x12168)

LCM = 113687473536/24336

LCM = 4671576

Thus, we can understand that the LCM of 828,312,806,546 is 4671576.

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

• LCM of 985, 432, 562, 950
• LCM of 381, 141, 277, 820
• LCM of 509, 547, 315, 366
• LCM of 157, 528, 505, 799
• LCM of 449, 929, 812, 449

1. What is the LCM of 828, 312, 806, 546?

Answer: LCM of 828, 312, 806, 546 is 4671576.

2. How to calculate the LCM of 828, 312, 806, 546?

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 828, 312, 806, 546.

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}.