Given numbers are 415,388,332,214

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

The LCM of 415,388,332,214 is 17229140.

Find LCM of 415,388,332,214 with Prime Factorization

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

2 x 2 x 83 x 5 x 97 x 1 x 107 = 17229140

Therefore, the lowest common multiple of 415,388,332,214 is 17229140.

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.

415 x 388 x 332 x 214 = 11440148960

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.

415 : 1, 5, 83, 415

388 : 1, 2, 4, 97, 194, 388

332 : 1, 2, 4, 83, 166, 332

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,388,332,214, is 1.

Now, the common factors can be found like this.

415:5x 83

388:2x 2x 97

332:2x 2x 83

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 2x 2x 83 = 664

Therefore, the value for common factors is 664.

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 = 11440148960/(1x664)

LCM = 11440148960/664

LCM = 17229140

Thus, we can understand that the LCM of 415,388,332,214 is 17229140.

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

• LCM of 345, 631, 463, 554
• LCM of 892, 926, 475, 888
• LCM of 953, 628, 636, 462
• LCM of 678, 365, 991, 651
• LCM of 614, 960, 180, 483

1. What is the LCM of 415, 388, 332, 214?

Answer: LCM of 415, 388, 332, 214 is 17229140.

2. How to calculate the LCM of 415, 388, 332, 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 415, 388, 332, 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}.