Given numbers are 208,149,249,447

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

The LCM of 208,149,249,447 is 7717008.

Find LCM of 208,149,249,447 with Prime Factorization

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

3 x 149 x 208 x 1 x 83 x 1 = 7717008

Therefore, the lowest common multiple of 208,149,249,447 is 7717008.

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 149 x 249 x 447 = 3449502576

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

149 : 1, 149

249 : 1, 3, 83, 249

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,149,249,447, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

149:149

249:3x 83

447:3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 149 = 447

Therefore, the value for common factors is 447.

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 = 3449502576/(1x447)

LCM = 3449502576/447

LCM = 7717008

Thus, we can understand that the LCM of 208,149,249,447 is 7717008.

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

• LCM of 201, 662, 147, 718
• LCM of 168, 733, 634, 431
• LCM of 821, 663, 120, 337
• LCM of 949, 269, 280, 421
• LCM of 341, 585, 366, 320

1. What is the LCM of 208, 149, 249, 447?

Answer: LCM of 208, 149, 249, 447 is 7717008.

2. How to calculate the LCM of 208, 149, 249, 447?

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, 149, 249, 447.

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}.