Given numbers are 829,172,388,323

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

The LCM of 829,172,388,323 is 4467424628.

Find LCM of 829,172,388,323 with Prime Factorization

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

2 x 2 x 829 x 43 x 97 x 323 = 4467424628

Therefore, the lowest common multiple of 829,172,388,323 is 4467424628.

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.

829 x 172 x 388 x 323 = 17869698512

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.

829 : 1, 829

172 : 1, 2, 4, 43, 86, 172

388 : 1, 2, 4, 97, 194, 388

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,172,388,323, is 1.

Now, the common factors can be found like this.

829:829

172:2x 2x 43

388:2x 2x 97

323:17x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 17869698512/(1x4)

LCM = 17869698512/4

LCM = 4467424628

Thus, we can understand that the LCM of 829,172,388,323 is 4467424628.

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

• LCM of 842, 281, 950, 324
• LCM of 441, 403, 100, 540
• LCM of 161, 610, 978, 732
• LCM of 542, 903, 539, 609
• LCM of 968, 152, 309, 150

1. What is the LCM of 829, 172, 388, 323?

Answer: LCM of 829, 172, 388, 323 is 4467424628.

2. How to calculate the LCM of 829, 172, 388, 323?

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 829, 172, 388, 323.

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}.