Given numbers are 409,204,816,216

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

The LCM of 409,204,816,216 is 3003696.

Find LCM of 409,204,816,216 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 409 x 1 x 2 x 9 = 3003696

Therefore, the lowest common multiple of 409,204,816,216 is 3003696.

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.

409 x 204 x 816 x 216 = 14706095616

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.

409 : 1, 409

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,204,816,216, is 1.

Now, the common factors can be found like this.

409:409

204:2x 2x 3x 17

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

216:2x 2x 2x 3x 3x 3

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 3x 3x 17 = 4896

Therefore, the value for common factors is 4896.

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 = 14706095616/(1x4896)

LCM = 14706095616/4896

LCM = 3003696

Thus, we can understand that the LCM of 409,204,816,216 is 3003696.

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

• LCM of 593, 482, 393, 746
• LCM of 627, 207, 183, 290
• LCM of 989, 369, 859, 846
• LCM of 606, 203, 957, 562
• LCM of 752, 550, 967, 958

1. What is the LCM of 409, 204, 816, 216?

Answer: LCM of 409, 204, 816, 216 is 3003696.

2. How to calculate the LCM of 409, 204, 816, 216?

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 409, 204, 816, 216.

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}.