LCM of 415, 943, 897, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 943, 897, 755 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 415, 943, 897, 755. So, keep reading to learn more.
Given numbers are 415,943,897,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,943,897,755 is 2304630705.
Find LCM of 415,943,897,755 with Prime Factorization
| 5 | 415, 943, 897, 755 |
| 23 | 83, 943, 897, 151 |
| 83, 41, 39, 151 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 83 x 41 x 39 x 151 = 2304630705
Therefore, the lowest common multiple of 415,943,897,755 is 2304630705.
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.
415 x 943 x 897 x 755 = 265032531075
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.
415 : 1, 5, 83, 415
943 : 1, 23, 41, 943
897 : 1, 3, 13, 23, 39, 69, 299, 897
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,943,897,755, is 1.
Now, the common factors can be found like this.
415:5x 83
943:23x 41
897:3x 13x 23
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 265032531075/(1x115)
LCM = 265032531075/115
LCM = 2304630705
Thus, we can understand that the LCM of 415,943,897,755 is 2304630705.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 415, 943, 897, 755
1. What is the LCM of 415, 943, 897, 755?
Answer: LCM of 415, 943, 897, 755 is 2304630705.
2. How to calculate the LCM of 415, 943, 897, 755?
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 415, 943, 897, 755.
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}.