Find the LCM of 454, 676, 239, 342, 849 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 454, 676, 239, 342, 849. So, keep reading to learn more.
Given numbers are 454,676,239,342,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,676,239,342,849 is 1774814630004.
Find LCM of 454,676,239,342,849 with Prime Factorization
2 | 454, 676, 239, 342, 849 |
3 | 227, 338, 239, 171, 849 |
227, 338, 239, 57, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 338 x 239 x 57 x 283 = 1774814630004
Therefore, the lowest common multiple of 454,676,239,342,849 is 1774814630004.
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.
454 x 676 x 239 x 342 x 849 = 21297775560048
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.
454 : 1, 2, 227, 454
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
239 : 1, 239
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,676,239,342,849, is 1.
Now, the common factors can be found like this.
454:2x 227
676:2x 2x 13x 13
239:239
342:2x 3x 3x 19
849:3x 283
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 3 = 12
Therefore, the value for common factors is 12.
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 = 21297775560048/(1x12)
LCM = 21297775560048/12
LCM = 1774814630004
Thus, we can understand that the LCM of 454,676,239,342,849 is 1774814630004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 676, 239, 342, 849?
Answer: LCM of 454, 676, 239, 342, 849 is 1774814630004.
2. How to calculate the LCM of 454, 676, 239, 342, 849?
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 454, 676, 239, 342, 849.
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}.