Given numbers are 414,428,823,989

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

The LCM of 414,428,823,989 is 3135323844.

Find LCM of 414,428,823,989 with Prime Factorization

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

2 x 23 x 9 x 214 x 823 x 43 = 3135323844

Therefore, the lowest common multiple of 414,428,823,989 is 3135323844.

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 428 x 823 x 989 = 144224896824

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

428 : 1, 2, 4, 107, 214, 428

823 : 1, 823

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,428,823,989, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

428:2x 2x 107

823:823

989:23x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 144224896824/(1x46)

LCM = 144224896824/46

LCM = 3135323844

Thus, we can understand that the LCM of 414,428,823,989 is 3135323844.

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

• LCM of 694, 677, 393, 893
• LCM of 247, 828, 693, 320
• LCM of 862, 287, 751, 435
• LCM of 634, 632, 986, 504
• LCM of 381, 321, 247, 172

1. What is the LCM of 414, 428, 823, 989?

Answer: LCM of 414, 428, 823, 989 is 3135323844.

2. How to calculate the LCM of 414, 428, 823, 989?

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, 428, 823, 989.

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}.