Find the LCM of 851, 897, 494, 361 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 851, 897, 494, 361. So, keep reading to learn more.
Given numbers are 851,897,494,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,897,494,361 is 23962458.
Find LCM of 851,897,494,361 with Prime Factorization
13 | 851, 897, 494, 361 |
19 | 851, 69, 38, 361 |
23 | 851, 69, 2, 19 |
37, 3, 2, 19 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 23 x 37 x 3 x 2 x 19 = 23962458
Therefore, the lowest common multiple of 851,897,494,361 is 23962458.
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.
851 x 897 x 494 x 361 = 136130723898
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.
851 : 1, 23, 37, 851
897 : 1, 3, 13, 23, 39, 69, 299, 897
494 : 1, 2, 13, 19, 26, 38, 247, 494
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,897,494,361, is 1.
Now, the common factors can be found like this.
851:23x 37
897:3x 13x 23
494:2x 13x 19
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19x 23 = 5681
Therefore, the value for common factors is 5681.
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 = 136130723898/(1x5681)
LCM = 136130723898/5681
LCM = 23962458
Thus, we can understand that the LCM of 851,897,494,361 is 23962458.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 851, 897, 494, 361?
Answer: LCM of 851, 897, 494, 361 is 23962458.
2. How to calculate the LCM of 851, 897, 494, 361?
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 851, 897, 494, 361.
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}.