Given numbers are 214,645,481,442

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

The LCM of 214,645,481,442 is 1128671310.

Find LCM of 214,645,481,442 with Prime Factorization

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

2 x 13 x 107 x 645 x 37 x 17 = 1128671310

Therefore, the lowest common multiple of 214,645,481,442 is 1128671310.

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.

214 x 645 x 481 x 442 = 29345454060

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.

214 : 1, 2, 107, 214

645 : 1, 3, 5, 15, 43, 129, 215, 645

481 : 1, 13, 37, 481

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,645,481,442, is 1.

Now, the common factors can be found like this.

214:2x 107

645:3x 5x 43

481:13x 37

442:2x 13x 17

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 29345454060/(1x26)

LCM = 29345454060/26

LCM = 1128671310

Thus, we can understand that the LCM of 214,645,481,442 is 1128671310.

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

• LCM of 550, 626, 187, 969
• LCM of 791, 354, 205, 296
• LCM of 585, 914, 649, 295
• LCM of 501, 946, 159, 594
• LCM of 148, 395, 916, 151

1. What is the LCM of 214, 645, 481, 442?

Answer: LCM of 214, 645, 481, 442 is 1128671310.

2. How to calculate the LCM of 214, 645, 481, 442?

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 214, 645, 481, 442.

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}.