Find the LCM of 398, 136, 891, 330, 458 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 398, 136, 891, 330, 458. So, keep reading to learn more.
Given numbers are 398,136,891,330,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,136,891,330,458 is 27610557480.
Find LCM of 398,136,891,330,458 with Prime Factorization
2 | 398, 136, 891, 330, 458 |
3 | 199, 68, 891, 165, 229 |
11 | 199, 68, 297, 55, 229 |
199, 68, 27, 5, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 199 x 68 x 27 x 5 x 229 = 27610557480
Therefore, the lowest common multiple of 398,136,891,330,458 is 27610557480.
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.
398 x 136 x 891 x 330 x 458 = 7289187174720
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.
398 : 1, 2, 199, 398
136 : 1, 2, 4, 8, 17, 34, 68, 136
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,136,891,330,458, is 1.
Now, the common factors can be found like this.
398:2x 199
136:2x 2x 2x 17
891:3x 3x 3x 3x 11
330:2x 3x 5x 11
458:2x 229
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 7289187174720/(1x264)
LCM = 7289187174720/264
LCM = 27610557480
Thus, we can understand that the LCM of 398,136,891,330,458 is 27610557480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 136, 891, 330, 458?
Answer: LCM of 398, 136, 891, 330, 458 is 27610557480.
2. How to calculate the LCM of 398, 136, 891, 330, 458?
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 398, 136, 891, 330, 458.
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}.