Given numbers are 322,803,388,653,914

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

The LCM of 322,803,388,653,914 is 14969335711484.

Find LCM of 322,803,388,653,914 with Prime Factorization

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

2 x 161 x 803 x 194 x 653 x 457 = 14969335711484

Therefore, the lowest common multiple of 322,803,388,653,914 is 14969335711484.

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.

322 x 803 x 388 x 653 x 914 = 59877342845936

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

803 : 1, 11, 73, 803

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

653 : 1, 653

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,803,388,653,914, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

803:11x 73

388:2x 2x 97

653:653

914:2x 457

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 = 59877342845936/(1x4)

LCM = 59877342845936/4

LCM = 14969335711484

Thus, we can understand that the LCM of 322,803,388,653,914 is 14969335711484.

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

• LCM of 239, 473, 244, 205, 251
• LCM of 214, 149, 617, 873, 493
• LCM of 185, 592, 119, 783, 466
• LCM of 407, 334, 307, 685, 839
• LCM of 830, 177, 998, 410, 175

1. What is the LCM of 322, 803, 388, 653, 914?

Answer: LCM of 322, 803, 388, 653, 914 is 14969335711484.

2. How to calculate the LCM of 322, 803, 388, 653, 914?

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 322, 803, 388, 653, 914.

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}.