Given numbers are 382,144,190,593,727

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

The LCM of 382,144,190,593,727 is 1126441309680.

Find LCM of 382,144,190,593,727 with Prime Factorization

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

2 x 191 x 72 x 95 x 593 x 727 = 1126441309680

Therefore, the lowest common multiple of 382,144,190,593,727 is 1126441309680.

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.

382 x 144 x 190 x 593 x 727 = 4505765238720

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.

382 : 1, 2, 191, 382

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

190 : 1, 2, 5, 10, 19, 38, 95, 190

593 : 1, 593

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,144,190,593,727, is 1.

Now, the common factors can be found like this.

382:2x 191

144:2x 2x 2x 2x 3x 3

190:2x 5x 19

593:593

727:727

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 = 4505765238720/(1x4)

LCM = 4505765238720/4

LCM = 1126441309680

Thus, we can understand that the LCM of 382,144,190,593,727 is 1126441309680.

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

• LCM of 420, 847, 647, 529, 731
• LCM of 588, 637, 422, 494, 945
• LCM of 463, 396, 330, 257, 560
• LCM of 286, 595, 912, 882, 448
• LCM of 477, 608, 627, 961, 262

1. What is the LCM of 382, 144, 190, 593, 727?

Answer: LCM of 382, 144, 190, 593, 727 is 1126441309680.

2. How to calculate the LCM of 382, 144, 190, 593, 727?

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 382, 144, 190, 593, 727.

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}.