Given numbers are 208,856,428

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

The LCM of 208,856,428 is 22256.

Find LCM of 208,856,428 with Prime Factorization

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

2 x 2 x 2 x 107 x 26 x 1 x 1 = 22256

Therefore, the lowest common multiple of 208,856,428 is 22256.

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 856 x 428 = 76204544

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

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

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,856,428, is 4.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

856:2x 2x 2x 107

428:2x 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 107 = 856

Therefore, the value for common factors is 856.

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 = 76204544/(4x856)

LCM = 76204544/3424

LCM = 22256

Thus, we can understand that the LCM of 208,856,428 is 22256.

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

• LCM of 778, 336, 559
• LCM of 933, 410, 676
• LCM of 108, 203, 947
• LCM of 341, 196, 295
• LCM of 320, 332, 399

1. What is the LCM of 208, 856, 428?

Answer: LCM of 208, 856, 428 is 22256.

2. How to calculate the LCM of 208, 856, 428?

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, 856, 428.

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}.