Given numbers are 218,431,851,414

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

The LCM of 218,431,851,414 is 719624322.

Find LCM of 218,431,851,414 with Prime Factorization

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

2 x 23 x 109 x 431 x 37 x 9 = 719624322

Therefore, the lowest common multiple of 218,431,851,414 is 719624322.

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.

218 x 431 x 851 x 414 = 33102718812

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.

218 : 1, 2, 109, 218

431 : 1, 431

851 : 1, 23, 37, 851

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,431,851,414, is 1.

Now, the common factors can be found like this.

218:2x 109

431:431

851:23x 37

414:2x 3x 3x 23

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 = 33102718812/(1x46)

LCM = 33102718812/46

LCM = 719624322

Thus, we can understand that the LCM of 218,431,851,414 is 719624322.

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

• LCM of 845, 759, 429, 788
• LCM of 900, 268, 805, 640
• LCM of 624, 715, 311, 706
• LCM of 199, 406, 284, 932
• LCM of 772, 241, 523, 665

1. What is the LCM of 218, 431, 851, 414?

Answer: LCM of 218, 431, 851, 414 is 719624322.

2. How to calculate the LCM of 218, 431, 851, 414?

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 218, 431, 851, 414.

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}.