Given numbers are 489,408,822,109

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

The LCM of 489,408,822,109 is 993104232.

Find LCM of 489,408,822,109 with Prime Factorization

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

2 x 3 x 163 x 68 x 137 x 109 = 993104232

Therefore, the lowest common multiple of 489,408,822,109 is 993104232.

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 408 x 822 x 109 = 17875876176

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

822 : 1, 2, 3, 6, 137, 274, 411, 822

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,408,822,109, is 1.

Now, the common factors can be found like this.

489:3x 163

408:2x 2x 2x 3x 17

822:2x 3x 137

109:109

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 3 = 18

Therefore, the value for common factors is 18.

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 = 17875876176/(1x18)

LCM = 17875876176/18

LCM = 993104232

Thus, we can understand that the LCM of 489,408,822,109 is 993104232.

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

• LCM of 429, 263, 525, 816
• LCM of 500, 271, 655, 987
• LCM of 184, 522, 730, 719
• LCM of 822, 123, 285, 230
• LCM of 514, 359, 569, 583

1. What is the LCM of 489, 408, 822, 109?

Answer: LCM of 489, 408, 822, 109 is 993104232.

2. How to calculate the LCM of 489, 408, 822, 109?

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, 408, 822, 109.

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}.