Given numbers are 112,734,327,214,305

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

The LCM of 112,734,327,214,305 is 438647296080.

Find LCM of 112,734,327,214,305 with Prime Factorization

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

2 x 56 x 367 x 327 x 107 x 305 = 438647296080

Therefore, the lowest common multiple of 112,734,327,214,305 is 438647296080.

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.

112 x 734 x 327 x 214 x 305 = 1754589184320

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.

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

734 : 1, 2, 367, 734

327 : 1, 3, 109, 327

214 : 1, 2, 107, 214

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,734,327,214,305, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

734:2x 367

327:3x 109

214:2x 107

305:5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1754589184320/(1x4)

LCM = 1754589184320/4

LCM = 438647296080

Thus, we can understand that the LCM of 112,734,327,214,305 is 438647296080.

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

• LCM of 513, 213, 459, 791, 598
• LCM of 597, 106, 935, 809, 832
• LCM of 400, 405, 428, 450, 590
• LCM of 114, 886, 743, 193, 499
• LCM of 464, 582, 716, 947, 864

1. What is the LCM of 112, 734, 327, 214, 305?

Answer: LCM of 112, 734, 327, 214, 305 is 438647296080.

2. How to calculate the LCM of 112, 734, 327, 214, 305?

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 112, 734, 327, 214, 305.

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}.