Given numbers are 208,283,815,284

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

The LCM of 208,283,815,284 is 3406165360.

Find LCM of 208,283,815,284 with Prime Factorization

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

2 x 2 x 52 x 283 x 815 x 71 = 3406165360

Therefore, the lowest common multiple of 208,283,815,284 is 3406165360.

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.

208 x 283 x 815 x 284 = 13624661440

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

283 : 1, 283

815 : 1, 5, 163, 815

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,283,815,284, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

283:283

815:5x 163

284:2x 2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13624661440/(1x4)

LCM = 13624661440/4

LCM = 3406165360

Thus, we can understand that the LCM of 208,283,815,284 is 3406165360.

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

• LCM of 428, 222, 532, 801
• LCM of 563, 235, 125, 740
• LCM of 118, 278, 507, 854
• LCM of 796, 610, 440, 538
• LCM of 138, 869, 215, 258

1. What is the LCM of 208, 283, 815, 284?

Answer: LCM of 208, 283, 815, 284 is 3406165360.

2. How to calculate the LCM of 208, 283, 815, 284?

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 208, 283, 815, 284.

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}.