Find the LCM of 985, 190, 614, 897, 273 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 985, 190, 614, 897, 273. So, keep reading to learn more.
Given numbers are 985,190,614,897,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,190,614,897,273 is 72152051790.
Find LCM of 985,190,614,897,273 with Prime Factorization
2 | 985, 190, 614, 897, 273 |
3 | 985, 95, 307, 897, 273 |
5 | 985, 95, 307, 299, 91 |
13 | 197, 19, 307, 299, 91 |
197, 19, 307, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 197 x 19 x 307 x 23 x 7 = 72152051790
Therefore, the lowest common multiple of 985,190,614,897,273 is 72152051790.
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.
985 x 190 x 614 x 897 x 273 = 28139300198100
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.
985 : 1, 5, 197, 985
190 : 1, 2, 5, 10, 19, 38, 95, 190
614 : 1, 2, 307, 614
897 : 1, 3, 13, 23, 39, 69, 299, 897
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,190,614,897,273, is 1.
Now, the common factors can be found like this.
985:5x 197
190:2x 5x 19
614:2x 307
897:3x 13x 23
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 28139300198100/(1x390)
LCM = 28139300198100/390
LCM = 72152051790
Thus, we can understand that the LCM of 985,190,614,897,273 is 72152051790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 190, 614, 897, 273?
Answer: LCM of 985, 190, 614, 897, 273 is 72152051790.
2. How to calculate the LCM of 985, 190, 614, 897, 273?
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 985, 190, 614, 897, 273.
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}.