Given numbers are 813,824,306,321

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

The LCM of 813,824,306,321 is 3655709784.

Find LCM of 813,824,306,321 with Prime Factorization

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

2 x 3 x 271 x 412 x 51 x 107 = 3655709784

Therefore, the lowest common multiple of 813,824,306,321 is 3655709784.

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.

813 x 824 x 306 x 321 = 65802776112

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.

813 : 1, 3, 271, 813

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,824,306,321, is 1.

Now, the common factors can be found like this.

813:3x 271

824:2x 2x 2x 103

306:2x 3x 3x 17

321:3x 107

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 3 = 18

Therefore, the value for common factors is 18.

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 = 65802776112/(1x18)

LCM = 65802776112/18

LCM = 3655709784

Thus, we can understand that the LCM of 813,824,306,321 is 3655709784.

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

• LCM of 589, 581, 223, 580
• LCM of 194, 328, 371, 260
• LCM of 193, 376, 154, 198
• LCM of 293, 492, 920, 290
• LCM of 290, 943, 592, 899

1. What is the LCM of 813, 824, 306, 321?

Answer: LCM of 813, 824, 306, 321 is 3655709784.

2. How to calculate the LCM of 813, 824, 306, 321?

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 813, 824, 306, 321.

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}.