LCM of 815, 830, 415, 909, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 830, 415, 909, 539 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 815, 830, 415, 909, 539. So, keep reading to learn more.
Given numbers are 815,830,415,909,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,830,415,909,539 is 66285470790.
Find LCM of 815,830,415,909,539 with Prime Factorization
| 5 | 815, 830, 415, 909, 539 |
| 83 | 163, 166, 83, 909, 539 |
| 163, 2, 1, 909, 539 |
Multiply the prime numbers at the bottom and the left side.
5 x 83 x 163 x 2 x 1 x 909 x 539 = 66285470790
Therefore, the lowest common multiple of 815,830,415,909,539 is 66285470790.
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.
815 x 830 x 415 x 909 x 539 = 137542351889250
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.
815 : 1, 5, 163, 815
830 : 1, 2, 5, 10, 83, 166, 415, 830
415 : 1, 5, 83, 415
909 : 1, 3, 9, 101, 303, 909
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,830,415,909,539, is 1.
Now, the common factors can be found like this.
815:5x 163
830:2x 5x 83
415:5x 83
909:3x 3x 101
539:7x 7x 11
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 83 = 2075
Therefore, the value for common factors is 2075.
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 = 137542351889250/(1x2075)
LCM = 137542351889250/2075
LCM = 66285470790
Thus, we can understand that the LCM of 815,830,415,909,539 is 66285470790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 815, 830, 415, 909, 539
1. What is the LCM of 815, 830, 415, 909, 539?
Answer: LCM of 815, 830, 415, 909, 539 is 66285470790.
2. How to calculate the LCM of 815, 830, 415, 909, 539?
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 815, 830, 415, 909, 539.
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}.