Given numbers are 270,790,349,589,382

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

The LCM of 270,790,349,589,382 is 837461680830.

Find LCM of 270,790,349,589,382 with Prime Factorization

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

2 x 5 x 27 x 79 x 349 x 589 x 191 = 837461680830

Therefore, the lowest common multiple of 270,790,349,589,382 is 837461680830.

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.

270 x 790 x 349 x 589 x 382 = 16749233616600

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

790 : 1, 2, 5, 10, 79, 158, 395, 790

349 : 1, 349

589 : 1, 19, 31, 589

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,790,349,589,382, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

790:2x 5x 79

349:349

589:19x 31

382:2x 191

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 5 = 20

Therefore, the value for common factors is 20.

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 = 16749233616600/(1x20)

LCM = 16749233616600/20

LCM = 837461680830

Thus, we can understand that the LCM of 270,790,349,589,382 is 837461680830.

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

• LCM of 402, 924, 884, 986, 213
• LCM of 851, 712, 147, 928, 815
• LCM of 507, 470, 953, 507, 878
• LCM of 661, 912, 808, 731, 152
• LCM of 880, 745, 996, 746, 800

1. What is the LCM of 270, 790, 349, 589, 382?

Answer: LCM of 270, 790, 349, 589, 382 is 837461680830.

2. How to calculate the LCM of 270, 790, 349, 589, 382?

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 270, 790, 349, 589, 382.

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}.