Given numbers are 804,208,387,214,990

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

The LCM of 804,208,387,214,990 is 31739170320.

Find LCM of 804,208,387,214,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 67 x 52 x 43 x 107 x 55 = 31739170320

Therefore, the lowest common multiple of 804,208,387,214,990 is 31739170320.

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.

804 x 208 x 387 x 214 x 990 = 13711321578240

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

387 : 1, 3, 9, 43, 129, 387

214 : 1, 2, 107, 214

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,208,387,214,990, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

208:2x 2x 2x 2x 13

387:3x 3x 43

214:2x 107

990:2x 3x 3x 5x 11

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 13711321578240/(1x432)

LCM = 13711321578240/432

LCM = 31739170320

Thus, we can understand that the LCM of 804,208,387,214,990 is 31739170320.

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

• LCM of 727, 787, 476, 503, 248
• LCM of 318, 671, 656, 280, 569
• LCM of 397, 457, 928, 382, 995
• LCM of 325, 982, 287, 802, 741
• LCM of 580, 241, 345, 332, 861

1. What is the LCM of 804, 208, 387, 214, 990?

Answer: LCM of 804, 208, 387, 214, 990 is 31739170320.

2. How to calculate the LCM of 804, 208, 387, 214, 990?

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 804, 208, 387, 214, 990.

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}.