Given numbers are 322,468,816,211

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

The LCM of 322,468,816,211 is 1081093104.

Find LCM of 322,468,816,211 with Prime Factorization

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

2 x 2 x 3 x 161 x 39 x 68 x 211 = 1081093104

Therefore, the lowest common multiple of 322,468,816,211 is 1081093104.

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.

322 x 468 x 816 x 211 = 25946234496

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,468,816,211, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

468:2x 2x 3x 3x 13

816:2x 2x 2x 2x 3x 17

211:211

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 3 = 24

Therefore, the value for common factors is 24.

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 = 25946234496/(1x24)

LCM = 25946234496/24

LCM = 1081093104

Thus, we can understand that the LCM of 322,468,816,211 is 1081093104.

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

• LCM of 410, 708, 645, 495
• LCM of 616, 185, 813, 572
• LCM of 174, 911, 820, 111
• LCM of 586, 987, 610, 295
• LCM of 515, 394, 277, 940

1. What is the LCM of 322, 468, 816, 211?

Answer: LCM of 322, 468, 816, 211 is 1081093104.

2. How to calculate the LCM of 322, 468, 816, 211?

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 322, 468, 816, 211.

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}.