Given numbers are 205,447,413,149

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

The LCM of 205,447,413,149 is 37845255.

Find LCM of 205,447,413,149 with Prime Factorization

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

149 x 205 x 3 x 413 x 1 = 37845255

Therefore, the lowest common multiple of 205,447,413,149 is 37845255.

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.

205 x 447 x 413 x 149 = 5638942995

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.

205 : 1, 5, 41, 205

447 : 1, 3, 149, 447

413 : 1, 7, 59, 413

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,447,413,149, is 1.

Now, the common factors can be found like this.

205:5x 41

447:3x 149

413:7x 59

149:149

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

149 = 149

Therefore, the value for common factors is 149.

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 = 5638942995/(1x149)

LCM = 5638942995/149

LCM = 37845255

Thus, we can understand that the LCM of 205,447,413,149 is 37845255.

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

• LCM of 798, 459, 459, 635
• LCM of 663, 712, 507, 471
• LCM of 666, 464, 297, 884
• LCM of 203, 198, 179, 610
• LCM of 597, 382, 915, 658

1. What is the LCM of 205, 447, 413, 149?

Answer: LCM of 205, 447, 413, 149 is 37845255.

2. How to calculate the LCM of 205, 447, 413, 149?

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 205, 447, 413, 149.

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}.