Given numbers are 208,209,264,782,680

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

The LCM of 208,209,264,782,680 is 254963280.

Find LCM of 208,209,264,782,680 with Prime Factorization

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

2 x 2 x 2 x 11 x 17 x 26 x 19 x 3 x 23 x 5 = 254963280

Therefore, the lowest common multiple of 208,209,264,782,680 is 254963280.

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 209 x 264 x 782 x 680 = 6102801070080

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

209 : 1, 11, 19, 209

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

782 : 1, 2, 17, 23, 34, 46, 391, 782

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,209,264,782,680, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

209:11x 19

264:2x 2x 2x 3x 11

782:2x 17x 23

680:2x 2x 2x 5x 17

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 2x 2x 11x 17 = 23936

Therefore, the value for common factors is 23936.

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 = 6102801070080/(1x23936)

LCM = 6102801070080/23936

LCM = 254963280

Thus, we can understand that the LCM of 208,209,264,782,680 is 254963280.

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

• LCM of 557, 792, 504, 271, 692
• LCM of 209, 501, 578, 283, 217
• LCM of 814, 980, 587, 150, 889
• LCM of 798, 103, 638, 469, 779
• LCM of 531, 974, 680, 175, 926

1. What is the LCM of 208, 209, 264, 782, 680?

Answer: LCM of 208, 209, 264, 782, 680 is 254963280.

2. How to calculate the LCM of 208, 209, 264, 782, 680?

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, 209, 264, 782, 680.

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}.