Given numbers are 447,576,582,354,861

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

The LCM of 447,576,582,354,861 is 140966005824.

Find LCM of 447,576,582,354,861 with Prime Factorization

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

2 x 3 x 149 x 96 x 97 x 59 x 287 = 140966005824

Therefore, the lowest common multiple of 447,576,582,354,861 is 140966005824.

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.

447 x 576 x 582 x 354 x 861 = 45672985886976

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.

447 : 1, 3, 149, 447

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

582 : 1, 2, 3, 6, 97, 194, 291, 582

354 : 1, 2, 3, 6, 59, 118, 177, 354

861 : 1, 3, 7, 21, 41, 123, 287, 861

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,576,582,354,861, is 3.

Now, the common factors can be found like this.

447:3x 149

576:2x 2x 2x 2x 2x 2x 3x 3

582:2x 3x 97

354:2x 3x 59

861:3x 7x 41

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 45672985886976/(3x108)

LCM = 45672985886976/324

LCM = 140966005824

Thus, we can understand that the LCM of 447,576,582,354,861 is 140966005824.

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

• LCM of 322, 256, 181, 967, 667
• LCM of 651, 210, 187, 411, 150
• LCM of 905, 554, 545, 618, 835
• LCM of 276, 652, 265, 685, 286
• LCM of 339, 583, 629, 295, 666

1. What is the LCM of 447, 576, 582, 354, 861?

Answer: LCM of 447, 576, 582, 354, 861 is 140966005824.

2. How to calculate the LCM of 447, 576, 582, 354, 861?

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 447, 576, 582, 354, 861.

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}.