Given numbers are 322,382,380

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

The LCM of 322,382,380 is 11685380.

Find LCM of 322,382,380 with Prime Factorization

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

2 x 161 x 191 x 190 = 11685380

Therefore, the lowest common multiple of 322,382,380 is 11685380.

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 382 x 380 = 46741520

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

382 : 1, 2, 191, 382

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,382,380, is 2.

Now, the common factors can be found like this.

322:2x 7x 23

382:2x 191

380:2x 2x 5x 19

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 = 46741520/(2x2)

LCM = 46741520/4

LCM = 11685380

Thus, we can understand that the LCM of 322,382,380 is 11685380.

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

• LCM of 866, 667, 752
• LCM of 791, 840, 707
• LCM of 738, 364, 785
• LCM of 470, 857, 237
• LCM of 322, 731, 647

1. What is the LCM of 322, 382, 380?

Answer: LCM of 322, 382, 380 is 11685380.

2. How to calculate the LCM of 322, 382, 380?

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, 382, 380.

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}.