Given numbers are 458,687,353,214

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

The LCM of 458,687,353,214 is 51897354.

Find LCM of 458,687,353,214 with Prime Factorization

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

2 x 229 x 1 x 3 x 353 x 107 = 51897354

Therefore, the lowest common multiple of 458,687,353,214 is 51897354.

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.

458 x 687 x 353 x 214 = 23768988132

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.

458 : 1, 2, 229, 458

687 : 1, 3, 229, 687

353 : 1, 353

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,687,353,214, is 1.

Now, the common factors can be found like this.

458:2x 229

687:3x 229

353:353

214:2x 107

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 23768988132/(1x458)

LCM = 23768988132/458

LCM = 51897354

Thus, we can understand that the LCM of 458,687,353,214 is 51897354.

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

• LCM of 529, 446, 309, 989
• LCM of 444, 948, 870, 388
• LCM of 378, 672, 808, 928
• LCM of 789, 351, 451, 813
• LCM of 465, 359, 652, 457

1. What is the LCM of 458, 687, 353, 214?

Answer: LCM of 458, 687, 353, 214 is 51897354.

2. How to calculate the LCM of 458, 687, 353, 214?

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 458, 687, 353, 214.

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}.