Given numbers are 489,261,986,208

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

The LCM of 489,261,986,208 is 150432048.

Find LCM of 489,261,986,208 with Prime Factorization

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

2 x 3 x 29 x 163 x 3 x 17 x 104 = 150432048

Therefore, the lowest common multiple of 489,261,986,208 is 150432048.

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 261 x 986 x 208 = 26175176352

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

261 : 1, 3, 9, 29, 87, 261

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,261,986,208, is 1.

Now, the common factors can be found like this.

489:3x 163

261:3x 3x 29

986:2x 17x 29

208:2x 2x 2x 2x 13

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

2x 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 26175176352/(1x174)

LCM = 26175176352/174

LCM = 150432048

Thus, we can understand that the LCM of 489,261,986,208 is 150432048.

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

• LCM of 382, 869, 932, 429
• LCM of 319, 529, 978, 423
• LCM of 154, 144, 839, 711
• LCM of 307, 696, 233, 875
• LCM of 650, 699, 766, 889

1. What is the LCM of 489, 261, 986, 208?

Answer: LCM of 489, 261, 986, 208 is 150432048.

2. How to calculate the LCM of 489, 261, 986, 208?

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, 261, 986, 208.

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}.