Given numbers are 296,345,394,444,412

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

The LCM of 296,345,394,444,412 is 2072116920.

Find LCM of 296,345,394,444,412 with Prime Factorization

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

2 x 2 x 3 x 37 x 2 x 115 x 197 x 1 x 103 = 2072116920

Therefore, the lowest common multiple of 296,345,394,444,412 is 2072116920.

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 345 x 394 x 444 x 412 = 7360159299840

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

394 : 1, 2, 197, 394

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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 296,345,394,444,412, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

345:3x 5x 23

394:2x 197

444:2x 2x 3x 37

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 2x 2x 3x 37 = 3552

Therefore, the value for common factors is 3552.

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 = 7360159299840/(1x3552)

LCM = 7360159299840/3552

LCM = 2072116920

Thus, we can understand that the LCM of 296,345,394,444,412 is 2072116920.

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

• LCM of 600, 103, 978, 633, 472
• LCM of 795, 843, 538, 859, 922
• LCM of 327, 277, 218, 260, 688
• LCM of 839, 854, 364, 717, 926
• LCM of 581, 911, 885, 271, 694

1. What is the LCM of 296, 345, 394, 444, 412?

Answer: LCM of 296, 345, 394, 444, 412 is 2072116920.

2. How to calculate the LCM of 296, 345, 394, 444, 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 296, 345, 394, 444, 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}.