Given numbers are 445,112,214,468

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

The LCM of 445,112,214,468 is 623946960.

Find LCM of 445,112,214,468 with Prime Factorization

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

2 x 2 x 445 x 28 x 107 x 117 = 623946960

Therefore, the lowest common multiple of 445,112,214,468 is 623946960.

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.

445 x 112 x 214 x 468 = 4991575680

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.

445 : 1, 5, 89, 445

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

214 : 1, 2, 107, 214

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,112,214,468, is 1.

Now, the common factors can be found like this.

445:5x 89

112:2x 2x 2x 2x 7

214:2x 107

468:2x 2x 3x 3x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4991575680/(1x8)

LCM = 4991575680/8

LCM = 623946960

Thus, we can understand that the LCM of 445,112,214,468 is 623946960.

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

• LCM of 913, 488, 333, 744
• LCM of 539, 903, 162, 664
• LCM of 276, 639, 377, 509
• LCM of 438, 622, 917, 188
• LCM of 923, 688, 952, 566

1. What is the LCM of 445, 112, 214, 468?

Answer: LCM of 445, 112, 214, 468 is 623946960.

2. How to calculate the LCM of 445, 112, 214, 468?

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 445, 112, 214, 468.

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}.