Given numbers are 414,180,634,885,882

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

The LCM of 414,180,634,885,882 is 3794090580.

Find LCM of 414,180,634,885,882 with Prime Factorization

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

2 x 3 x 3 x 5 x 23 x 2 x 317 x 59 x 49 = 3794090580

Therefore, the lowest common multiple of 414,180,634,885,882 is 3794090580.

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.

414 x 180 x 634 x 885 x 882 = 36878560437600

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

634 : 1, 2, 317, 634

885 : 1, 3, 5, 15, 59, 177, 295, 885

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,180,634,885,882, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

180:2x 2x 3x 3x 5

634:2x 317

885:3x 5x 59

882:2x 3x 3x 7x 7

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 3x 3x 3x 3x 3x 5 = 9720

Therefore, the value for common factors is 9720.

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 = 36878560437600/(1x9720)

LCM = 36878560437600/9720

LCM = 3794090580

Thus, we can understand that the LCM of 414,180,634,885,882 is 3794090580.

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

• LCM of 350, 576, 131, 547, 856
• LCM of 803, 800, 321, 556, 463
• LCM of 616, 454, 508, 752, 544
• LCM of 320, 683, 799, 282, 948
• LCM of 614, 452, 227, 234, 320

1. What is the LCM of 414, 180, 634, 885, 882?

Answer: LCM of 414, 180, 634, 885, 882 is 3794090580.

2. How to calculate the LCM of 414, 180, 634, 885, 882?

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 414, 180, 634, 885, 882.

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}.