Given numbers are 206,203,376,490

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

The LCM of 206,203,376,490 is 275162440.

Find LCM of 206,203,376,490 with Prime Factorization

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

2 x 7 x 103 x 29 x 188 x 35 = 275162440

Therefore, the lowest common multiple of 206,203,376,490 is 275162440.

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.

206 x 203 x 376 x 490 = 7704548320

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.

206 : 1, 2, 103, 206

203 : 1, 7, 29, 203

376 : 1, 2, 4, 8, 47, 94, 188, 376

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,203,376,490, is 1.

Now, the common factors can be found like this.

206:2x 103

203:7x 29

376:2x 2x 2x 47

490:2x 5x 7x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 7704548320/(1x28)

LCM = 7704548320/28

LCM = 275162440

Thus, we can understand that the LCM of 206,203,376,490 is 275162440.

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

• LCM of 663, 572, 771, 123
• LCM of 622, 311, 202, 466
• LCM of 341, 800, 431, 380
• LCM of 501, 290, 465, 517
• LCM of 820, 635, 925, 352

1. What is the LCM of 206, 203, 376, 490?

Answer: LCM of 206, 203, 376, 490 is 275162440.

2. How to calculate the LCM of 206, 203, 376, 490?

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 206, 203, 376, 490.

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}.