Given numbers are 380,662,646,323

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

The LCM of 380,662,646,323 is 2138260.

Find LCM of 380,662,646,323 with Prime Factorization

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

2 x 17 x 19 x 10 x 331 x 1 x 1 = 2138260

Therefore, the lowest common multiple of 380,662,646,323 is 2138260.

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.

380 x 662 x 646 x 323 = 52490006480

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.

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

662 : 1, 2, 331, 662

646 : 1, 2, 17, 19, 34, 38, 323, 646

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,662,646,323, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

662:2x 331

646:2x 17x 19

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 2x 17x 19x 19 = 24548

Therefore, the value for common factors is 24548.

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 = 52490006480/(1x24548)

LCM = 52490006480/24548

LCM = 2138260

Thus, we can understand that the LCM of 380,662,646,323 is 2138260.

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

• LCM of 910, 633, 659, 842
• LCM of 445, 553, 286, 281
• LCM of 591, 438, 123, 604
• LCM of 737, 147, 300, 449
• LCM of 701, 751, 666, 560

1. What is the LCM of 380, 662, 646, 323?

Answer: LCM of 380, 662, 646, 323 is 2138260.

2. How to calculate the LCM of 380, 662, 646, 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 380, 662, 646, 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}.