LCM of 385, 440, 567, 913, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 440, 567, 913, 415 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 385, 440, 567, 913, 415. So, keep reading to learn more.
Given numbers are 385,440,567,913,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,440,567,913,415 is 20706840.
Find LCM of 385,440,567,913,415 with Prime Factorization
| 5 | 385, 440, 567, 913, 415 |
| 7 | 77, 88, 567, 913, 83 |
| 11 | 11, 88, 81, 913, 83 |
| 83 | 1, 8, 81, 83, 83 |
| 1, 8, 81, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 83 x 1 x 8 x 81 x 1 x 1 = 20706840
Therefore, the lowest common multiple of 385,440,567,913,415 is 20706840.
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.
385 x 440 x 567 x 913 x 415 = 36392788971000
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
913 : 1, 11, 83, 913
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,440,567,913,415, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
440:2x 2x 2x 5x 11
567:3x 3x 3x 3x 7
913:11x 83
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11x 11x 83 = 1757525
Therefore, the value for common factors is 1757525.
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 = 36392788971000/(1x1757525)
LCM = 36392788971000/1757525
LCM = 20706840
Thus, we can understand that the LCM of 385,440,567,913,415 is 20706840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 385, 440, 567, 913, 415
1. What is the LCM of 385, 440, 567, 913, 415?
Answer: LCM of 385, 440, 567, 913, 415 is 20706840.
2. How to calculate the LCM of 385, 440, 567, 913, 415?
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 385, 440, 567, 913, 415.
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}.