Given numbers are 208,407,221,637,856

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

The LCM of 208,407,221,637,856 is 7545473936.

Find LCM of 208,407,221,637,856 with Prime Factorization

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

2 x 2 x 2 x 13 x 2 x 407 x 17 x 49 x 107 = 7545473936

Therefore, the lowest common multiple of 208,407,221,637,856 is 7545473936.

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 407 x 221 x 637 x 856 = 10201480761472

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

407 : 1, 11, 37, 407

221 : 1, 13, 17, 221

637 : 1, 7, 13, 49, 91, 637

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,407,221,637,856, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

407:11x 37

221:13x 17

637:7x 7x 13

856:2x 2x 2x 107

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 10201480761472/(1x1352)

LCM = 10201480761472/1352

LCM = 7545473936

Thus, we can understand that the LCM of 208,407,221,637,856 is 7545473936.

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

• LCM of 844, 999, 564, 997, 369
• LCM of 868, 770, 854, 469, 344
• LCM of 119, 168, 265, 781, 700
• LCM of 917, 940, 203, 401, 924
• LCM of 448, 348, 100, 627, 337

1. What is the LCM of 208, 407, 221, 637, 856?

Answer: LCM of 208, 407, 221, 637, 856 is 7545473936.

2. How to calculate the LCM of 208, 407, 221, 637, 856?

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, 407, 221, 637, 856.

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}.