Given numbers are 208,804,890,450,660

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

The LCM of 208,804,890,450,660 is 3069752400.

Find LCM of 208,804,890,450,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 52 x 67 x 89 x 15 x 11 = 3069752400

Therefore, the lowest common multiple of 208,804,890,450,660 is 3069752400.

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 804 x 890 x 450 x 660 = 44204434560000

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

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,804,890,450,660, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

804:2x 2x 3x 67

890:2x 5x 89

450:2x 3x 3x 5x 5

660:2x 2x 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 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 44204434560000/(2x7200)

LCM = 44204434560000/14400

LCM = 3069752400

Thus, we can understand that the LCM of 208,804,890,450,660 is 3069752400.

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

• LCM of 795, 133, 108, 296, 178
• LCM of 176, 722, 441, 700, 702
• LCM of 459, 650, 758, 661, 416
• LCM of 209, 342, 844, 709, 525
• LCM of 482, 383, 856, 969, 675

1. What is the LCM of 208, 804, 890, 450, 660?

Answer: LCM of 208, 804, 890, 450, 660 is 3069752400.

2. How to calculate the LCM of 208, 804, 890, 450, 660?

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, 804, 890, 450, 660.

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}.