LCM of 415, 701, 830, 415, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 701, 830, 415, 821 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, 701, 830, 415, 821. So, keep reading to learn more.
Given numbers are 415,701,830,415,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,701,830,415,821 is 477682430.
Find LCM of 415,701,830,415,821 with Prime Factorization
| 5 | 415, 701, 830, 415, 821 |
| 83 | 83, 701, 166, 83, 821 |
| 1, 701, 2, 1, 821 |
Multiply the prime numbers at the bottom and the left side.
5 x 83 x 1 x 701 x 2 x 1 x 821 = 477682430
Therefore, the lowest common multiple of 415,701,830,415,821 is 477682430.
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 701 x 830 x 415 x 821 = 82268856506750
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
701 : 1, 701
830 : 1, 2, 5, 10, 83, 166, 415, 830
415 : 1, 5, 83, 415
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,701,830,415,821, is 1.
Now, the common factors can be found like this.
415:5x 83
701:701
830:2x 5x 83
415:5x 83
821:821
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 83x 83 = 172225
Therefore, the value for common factors is 172225.
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 = 82268856506750/(1x172225)
LCM = 82268856506750/172225
LCM = 477682430
Thus, we can understand that the LCM of 415,701,830,415,821 is 477682430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 701, 830, 415, 821
1. What is the LCM of 415, 701, 830, 415, 821?
Answer: LCM of 415, 701, 830, 415, 821 is 477682430.
2. How to calculate the LCM of 415, 701, 830, 415, 821?
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, 701, 830, 415, 821.
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}.