Given numbers are 489,205,451,208,215

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

The LCM of 489,205,451,208,215 is 9862504080.

Find LCM of 489,205,451,208,215 with Prime Factorization

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

5 x 41 x 489 x 1 x 11 x 208 x 43 = 9862504080

Therefore, the lowest common multiple of 489,205,451,208,215 is 9862504080.

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.

489 x 205 x 451 x 208 x 215 = 2021813336400

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.

489 : 1, 3, 163, 489

205 : 1, 5, 41, 205

451 : 1, 11, 41, 451

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,205,451,208,215, is 1.

Now, the common factors can be found like this.

489:3x 163

205:5x 41

451:11x 41

208:2x 2x 2x 2x 13

215:5x 43

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

5x 41 = 205

Therefore, the value for common factors is 205.

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 = 2021813336400/(1x205)

LCM = 2021813336400/205

LCM = 9862504080

Thus, we can understand that the LCM of 489,205,451,208,215 is 9862504080.

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

• LCM of 458, 141, 470, 278, 401
• LCM of 545, 637, 517, 713, 458
• LCM of 830, 152, 191, 526, 798
• LCM of 326, 158, 960, 640, 845
• LCM of 104, 128, 978, 734, 474

1. What is the LCM of 489, 205, 451, 208, 215?

Answer: LCM of 489, 205, 451, 208, 215 is 9862504080.

2. How to calculate the LCM of 489, 205, 451, 208, 215?

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 489, 205, 451, 208, 215.

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}.