Given numbers are 324,514,814

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

The LCM of 324,514,814 is 33890076.

Find LCM of 324,514,814 with Prime Factorization

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

2 x 162 x 257 x 407 = 33890076

Therefore, the lowest common multiple of 324,514,814 is 33890076.

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.

324 x 514 x 814 = 135560304

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

514 : 1, 2, 257, 514

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,514,814, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

514:2x 257

814:2x 11x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 135560304/(2x2)

LCM = 135560304/4

LCM = 33890076

Thus, we can understand that the LCM of 324,514,814 is 33890076.

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

• LCM of 495, 322, 452
• LCM of 126, 902, 701
• LCM of 111, 809, 224
• LCM of 755, 305, 975
• LCM of 978, 579, 876

1. What is the LCM of 324, 514, 814?

Answer: LCM of 324, 514, 814 is 33890076.

2. How to calculate the LCM of 324, 514, 814?

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 324, 514, 814.

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}.