Given numbers are 342,330,582,199,829

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

The LCM of 342,330,582,199,829 is 301001137470.

Find LCM of 342,330,582,199,829 with Prime Factorization

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

2 x 3 x 57 x 55 x 97 x 199 x 829 = 301001137470

Therefore, the lowest common multiple of 342,330,582,199,829 is 301001137470.

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.

342 x 330 x 582 x 199 x 829 = 10836040948920

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

582 : 1, 2, 3, 6, 97, 194, 291, 582

199 : 1, 199

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,330,582,199,829, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

330:2x 3x 5x 11

582:2x 3x 97

199:199

829:829

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 10836040948920/(1x36)

LCM = 10836040948920/36

LCM = 301001137470

Thus, we can understand that the LCM of 342,330,582,199,829 is 301001137470.

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

• LCM of 484, 640, 515, 338, 572
• LCM of 486, 652, 311, 577, 108
• LCM of 174, 173, 504, 358, 610
• LCM of 411, 640, 384, 357, 100
• LCM of 364, 387, 198, 170, 447

1. What is the LCM of 342, 330, 582, 199, 829?

Answer: LCM of 342, 330, 582, 199, 829 is 301001137470.

2. How to calculate the LCM of 342, 330, 582, 199, 829?

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 342, 330, 582, 199, 829.

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}.