Given numbers are 489,849,828

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

The LCM of 489,849,828 is 38194812.

Find LCM of 489,849,828 with Prime Factorization

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

3 x 163 x 283 x 276 = 38194812

Therefore, the lowest common multiple of 489,849,828 is 38194812.

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 849 x 828 = 343753308

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

849 : 1, 3, 283, 849

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,849,828, is 3.

Now, the common factors can be found like this.

489:3x 163

849:3x 283

828:2x 2x 3x 3x 23

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

3 = 3

Therefore, the value for common factors is 3.

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 = 343753308/(3x3)

LCM = 343753308/9

LCM = 38194812

Thus, we can understand that the LCM of 489,849,828 is 38194812.

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

• LCM of 661, 876, 487
• LCM of 941, 688, 527
• LCM of 624, 123, 559
• LCM of 497, 498, 872
• LCM of 217, 855, 913

1. What is the LCM of 489, 849, 828?

Answer: LCM of 489, 849, 828 is 38194812.

2. How to calculate the LCM of 489, 849, 828?

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, 849, 828.

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}.