Given numbers are 804,352,204,480

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

The LCM of 804,352,204,480 is 6013920.

Find LCM of 804,352,204,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 67 x 11 x 17 x 5 = 6013920

Therefore, the lowest common multiple of 804,352,204,480 is 6013920.

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.

804 x 352 x 204 x 480 = 27712143360

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,352,204,480, is 4.

Now, the common factors can be found like this.

804:2x 2x 3x 67

352:2x 2x 2x 2x 2x 11

204:2x 2x 3x 17

480:2x 2x 2x 2x 2x 3x 5

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 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 27712143360/(4x1152)

LCM = 27712143360/4608

LCM = 6013920

Thus, we can understand that the LCM of 804,352,204,480 is 6013920.

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

• LCM of 770, 696, 892, 619
• LCM of 376, 501, 672, 796
• LCM of 650, 442, 181, 130
• LCM of 657, 501, 622, 346
• LCM of 441, 686, 987, 120

1. What is the LCM of 804, 352, 204, 480?

Answer: LCM of 804, 352, 204, 480 is 6013920.

2. How to calculate the LCM of 804, 352, 204, 480?

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 804, 352, 204, 480.

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}.