Given numbers are 296,412,442,348,855

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

The LCM of 296,412,442,348,855 is 167064941160.

Find LCM of 296,412,442,348,855 with Prime Factorization

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

2 x 2 x 3 x 74 x 103 x 221 x 29 x 285 = 167064941160

Therefore, the lowest common multiple of 296,412,442,348,855 is 167064941160.

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.

296 x 412 x 442 x 348 x 855 = 16038234351360

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,412,442,348,855, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

412:2x 2x 103

442:2x 13x 17

348:2x 2x 3x 29

855:3x 3x 5x 19

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 3 = 96

Therefore, the value for common factors is 96.

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 = 16038234351360/(1x96)

LCM = 16038234351360/96

LCM = 167064941160

Thus, we can understand that the LCM of 296,412,442,348,855 is 167064941160.

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

• LCM of 209, 372, 823, 161, 155
• LCM of 986, 770, 957, 631, 929
• LCM of 784, 569, 590, 588, 835
• LCM of 331, 479, 457, 794, 226
• LCM of 874, 162, 263, 699, 620

1. What is the LCM of 296, 412, 442, 348, 855?

Answer: LCM of 296, 412, 442, 348, 855 is 167064941160.

2. How to calculate the LCM of 296, 412, 442, 348, 855?

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 296, 412, 442, 348, 855.

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}.