Given numbers are 208,580,566

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

The LCM of 208,580,566 is 8535280.

Find LCM of 208,580,566 with Prime Factorization

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

2 x 2 x 52 x 145 x 283 = 8535280

Therefore, the lowest common multiple of 208,580,566 is 8535280.

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 580 x 566 = 68282240

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,580,566, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

580:2x 2x 5x 29

566:2x 283

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 = 68282240/(2x4)

LCM = 68282240/8

LCM = 8535280

Thus, we can understand that the LCM of 208,580,566 is 8535280.

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

• LCM of 446, 259, 118
• LCM of 170, 329, 858
• LCM of 236, 805, 383
• LCM of 617, 821, 361
• LCM of 584, 565, 631

1. What is the LCM of 208, 580, 566?

Answer: LCM of 208, 580, 566 is 8535280.

2. How to calculate the LCM of 208, 580, 566?

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, 580, 566.

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}.