Given numbers are 208,247,828,561,460

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

The LCM of 208,247,828,561,460 is 764889840.

Find LCM of 208,247,828,561,460 with Prime Factorization

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

2 x 2 x 3 x 13 x 23 x 4 x 19 x 3 x 187 x 5 = 764889840

Therefore, the lowest common multiple of 208,247,828,561,460 is 764889840.

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 247 x 828 x 561 x 460 = 10977698983680

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

247 : 1, 13, 19, 247

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

561 : 1, 3, 11, 17, 33, 51, 187, 561

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,247,828,561,460, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

247:13x 19

828:2x 2x 3x 3x 23

561:3x 11x 17

460:2x 2x 5x 23

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 13x 23 = 14352

Therefore, the value for common factors is 14352.

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 = 10977698983680/(1x14352)

LCM = 10977698983680/14352

LCM = 764889840

Thus, we can understand that the LCM of 208,247,828,561,460 is 764889840.

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

• LCM of 551, 170, 939, 743, 428
• LCM of 470, 229, 835, 462, 209
• LCM of 988, 476, 647, 653, 869
• LCM of 828, 450, 706, 906, 200
• LCM of 720, 543, 144, 764, 854

1. What is the LCM of 208, 247, 828, 561, 460?

Answer: LCM of 208, 247, 828, 561, 460 is 764889840.

2. How to calculate the LCM of 208, 247, 828, 561, 460?

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, 247, 828, 561, 460.

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}.