Given numbers are 819,546,309,924

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

The LCM of 819,546,309,924 is 3711708.

Find LCM of 819,546,309,924 with Prime Factorization

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

2 x 3 x 7 x 13 x 1 x 3 x 103 x 22 = 3711708

Therefore, the lowest common multiple of 819,546,309,924 is 3711708.

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.

819 x 546 x 309 x 924 = 127675331784

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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

309 : 1, 3, 103, 309

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,546,309,924, is 3.

Now, the common factors can be found like this.

819:3x 3x 7x 13

546:2x 3x 7x 13

309:3x 103

924:2x 2x 3x 7x 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 3x 3x 7x 7x 13 = 11466

Therefore, the value for common factors is 11466.

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 = 127675331784/(3x11466)

LCM = 127675331784/34398

LCM = 3711708

Thus, we can understand that the LCM of 819,546,309,924 is 3711708.

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

• LCM of 163, 341, 225, 985
• LCM of 240, 980, 275, 808
• LCM of 406, 612, 882, 475
• LCM of 995, 850, 405, 265
• LCM of 803, 364, 347, 603

1. What is the LCM of 819, 546, 309, 924?

Answer: LCM of 819, 546, 309, 924 is 3711708.

2. How to calculate the LCM of 819, 546, 309, 924?

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 819, 546, 309, 924.

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}.