Given numbers are 128,279,319,356,412

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

The LCM of 128,279,319,356,412 is 104431637376.

Find LCM of 128,279,319,356,412 with Prime Factorization

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

2 x 2 x 32 x 279 x 319 x 89 x 103 = 104431637376

Therefore, the lowest common multiple of 128,279,319,356,412 is 104431637376.

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.

128 x 279 x 319 x 356 x 412 = 1670906198016

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

279 : 1, 3, 9, 31, 93, 279

319 : 1, 11, 29, 319

356 : 1, 2, 4, 89, 178, 356

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,279,319,356,412, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

279:3x 3x 31

319:11x 29

356:2x 2x 89

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1670906198016/(1x16)

LCM = 1670906198016/16

LCM = 104431637376

Thus, we can understand that the LCM of 128,279,319,356,412 is 104431637376.

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

• LCM of 127, 996, 452, 523, 152
• LCM of 938, 329, 191, 797, 431
• LCM of 240, 201, 859, 180, 330
• LCM of 174, 604, 427, 102, 179
• LCM of 444, 737, 356, 348, 154

1. What is the LCM of 128, 279, 319, 356, 412?

Answer: LCM of 128, 279, 319, 356, 412 is 104431637376.

2. How to calculate the LCM of 128, 279, 319, 356, 412?

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 128, 279, 319, 356, 412.

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}.