Given numbers are 327,411,415

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

The LCM of 327,411,415 is 18591585.

Find LCM of 327,411,415 with Prime Factorization

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

3 x 109 x 137 x 415 = 18591585

Therefore, the lowest common multiple of 327,411,415 is 18591585.

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.

327 x 411 x 415 = 55774755

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.

327 : 1, 3, 109, 327

411 : 1, 3, 137, 411

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,411,415, is 1.

Now, the common factors can be found like this.

327:3x 109

411:3x 137

415:5x 83

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

3 = 3

Therefore, the value for common factors is 3.

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 = 55774755/(1x3)

LCM = 55774755/3

LCM = 18591585

Thus, we can understand that the LCM of 327,411,415 is 18591585.

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

• LCM of 102, 787, 730
• LCM of 331, 761, 495
• LCM of 995, 942, 547
• LCM of 185, 793, 357
• LCM of 156, 520, 629

1. What is the LCM of 327, 411, 415?

Answer: LCM of 327, 411, 415 is 18591585.

2. How to calculate the LCM of 327, 411, 415?

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 327, 411, 415.

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}.