Find the LCM of 233, 204, 489, 396, 597 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 233, 204, 489, 396, 597. So, keep reading to learn more.
Given numbers are 233,204,489,396,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,204,489,396,597 is 50879250972.
Find LCM of 233,204,489,396,597 with Prime Factorization
2 | 233, 204, 489, 396, 597 |
2 | 233, 102, 489, 198, 597 |
3 | 233, 51, 489, 99, 597 |
233, 17, 163, 33, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 17 x 163 x 33 x 199 = 50879250972
Therefore, the lowest common multiple of 233,204,489,396,597 is 50879250972.
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.
233 x 204 x 489 x 396 x 597 = 5494959104976
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.
233 : 1, 233
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
489 : 1, 3, 163, 489
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,204,489,396,597, is 1.
Now, the common factors can be found like this.
233:233
204:2x 2x 3x 17
489:3x 163
396:2x 2x 3x 3x 11
597:3x 199
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 5494959104976/(1x108)
LCM = 5494959104976/108
LCM = 50879250972
Thus, we can understand that the LCM of 233,204,489,396,597 is 50879250972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 233, 204, 489, 396, 597?
Answer: LCM of 233, 204, 489, 396, 597 is 50879250972.
2. How to calculate the LCM of 233, 204, 489, 396, 597?
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 233, 204, 489, 396, 597.
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}.