Given numbers are 321,412,107

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

The LCM of 321,412,107 is 132252.

Find LCM of 321,412,107 with Prime Factorization

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

107 x 3 x 412 x 1 = 132252

Therefore, the lowest common multiple of 321,412,107 is 132252.

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.

321 x 412 x 107 = 14150964

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.

321 : 1, 3, 107, 321

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,412,107, is 1.

Now, the common factors can be found like this.

321:3x 107

412:2x 2x 103

107:107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 14150964/(1x107)

LCM = 14150964/107

LCM = 132252

Thus, we can understand that the LCM of 321,412,107 is 132252.

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

• LCM of 650, 371, 686
• LCM of 996, 678, 472
• LCM of 576, 333, 239
• LCM of 360, 260, 395
• LCM of 907, 680, 944

1. What is the LCM of 321, 412, 107?

Answer: LCM of 321, 412, 107 is 132252.

2. How to calculate the LCM of 321, 412, 107?

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 321, 412, 107.

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}.