Find the LCM of 181, 897, 794, 713, 919 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 181, 897, 794, 713, 919. So, keep reading to learn more.
Given numbers are 181,897,794,713,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,897,794,713,919 is 3672558526962.
Find LCM of 181,897,794,713,919 with Prime Factorization
23 | 181, 897, 794, 713, 919 |
181, 39, 794, 31, 919 |
Multiply the prime numbers at the bottom and the left side.
23 x 181 x 39 x 794 x 31 x 919 = 3672558526962
Therefore, the lowest common multiple of 181,897,794,713,919 is 3672558526962.
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.
181 x 897 x 794 x 713 x 919 = 84468846120126
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.
181 : 1, 181
897 : 1, 3, 13, 23, 39, 69, 299, 897
794 : 1, 2, 397, 794
713 : 1, 23, 31, 713
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,897,794,713,919, is 1.
Now, the common factors can be found like this.
181:181
897:3x 13x 23
794:2x 397
713:23x 31
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 84468846120126/(1x23)
LCM = 84468846120126/23
LCM = 3672558526962
Thus, we can understand that the LCM of 181,897,794,713,919 is 3672558526962.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 181, 897, 794, 713, 919?
Answer: LCM of 181, 897, 794, 713, 919 is 3672558526962.
2. How to calculate the LCM of 181, 897, 794, 713, 919?
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 181, 897, 794, 713, 919.
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}.