Given numbers are 816,784,820,409

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

The LCM of 816,784,820,409 is 3352458480.

Find LCM of 816,784,820,409 with Prime Factorization

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

2 x 2 x 2 x 2 x 51 x 49 x 205 x 409 = 3352458480

Therefore, the lowest common multiple of 816,784,820,409 is 3352458480.

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.

816 x 784 x 820 x 409 = 214557342720

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.

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,784,820,409, is 1.

Now, the common factors can be found like this.

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

784:2x 2x 2x 2x 7x 7

820:2x 2x 5x 41

409:409

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 2 = 64

Therefore, the value for common factors is 64.

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 = 214557342720/(1x64)

LCM = 214557342720/64

LCM = 3352458480

Thus, we can understand that the LCM of 816,784,820,409 is 3352458480.

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

• LCM of 781, 438, 680, 461
• LCM of 497, 574, 946, 344
• LCM of 108, 525, 181, 251
• LCM of 696, 931, 665, 665
• LCM of 345, 499, 799, 412

1. What is the LCM of 816, 784, 820, 409?

Answer: LCM of 816, 784, 820, 409 is 3352458480.

2. How to calculate the LCM of 816, 784, 820, 409?

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 816, 784, 820, 409.

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}.