Given numbers are 380,807,209,394,656

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

The LCM of 380,807,209,394,656 is 108983284080.

Find LCM of 380,807,209,394,656 with Prime Factorization

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

2 x 2 x 19 x 5 x 807 x 11 x 197 x 164 = 108983284080

Therefore, the lowest common multiple of 380,807,209,394,656 is 108983284080.

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 807 x 209 x 394 x 656 = 16565459180160

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

807 : 1, 3, 269, 807

209 : 1, 11, 19, 209

394 : 1, 2, 197, 394

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,807,209,394,656, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

807:3x 269

209:11x 19

394:2x 197

656:2x 2x 2x 2x 41

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 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 16565459180160/(1x152)

LCM = 16565459180160/152

LCM = 108983284080

Thus, we can understand that the LCM of 380,807,209,394,656 is 108983284080.

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

• LCM of 277, 704, 399, 796, 996
• LCM of 944, 737, 978, 142, 513
• LCM of 642, 604, 371, 726, 996
• LCM of 178, 940, 764, 158, 142
• LCM of 584, 348, 470, 677, 885

1. What is the LCM of 380, 807, 209, 394, 656?

Answer: LCM of 380, 807, 209, 394, 656 is 108983284080.

2. How to calculate the LCM of 380, 807, 209, 394, 656?

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, 807, 209, 394, 656.

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}.