LCM of 995, 595, 425, 428, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 595, 425, 428, 231 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 995, 595, 425, 428, 231. So, keep reading to learn more.
Given numbers are 995,595,425,428,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,595,425,428,231 is 8361761100.
Find LCM of 995,595,425,428,231 with Prime Factorization
| 5 | 995, 595, 425, 428, 231 |
| 7 | 199, 119, 85, 428, 231 |
| 17 | 199, 17, 85, 428, 33 |
| 199, 1, 5, 428, 33 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 199 x 1 x 5 x 428 x 33 = 8361761100
Therefore, the lowest common multiple of 995,595,425,428,231 is 8361761100.
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.
995 x 595 x 425 x 428 x 231 = 24876239272500
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.
995 : 1, 5, 199, 995
595 : 1, 5, 7, 17, 35, 85, 119, 595
425 : 1, 5, 17, 25, 85, 425
428 : 1, 2, 4, 107, 214, 428
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,595,425,428,231, is 1.
Now, the common factors can be found like this.
995:5x 199
595:5x 7x 17
425:5x 5x 17
428:2x 2x 107
231:3x 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 7x 17 = 2975
Therefore, the value for common factors is 2975.
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 = 24876239272500/(1x2975)
LCM = 24876239272500/2975
LCM = 8361761100
Thus, we can understand that the LCM of 995,595,425,428,231 is 8361761100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 995, 595, 425, 428, 231
1. What is the LCM of 995, 595, 425, 428, 231?
Answer: LCM of 995, 595, 425, 428, 231 is 8361761100.
2. How to calculate the LCM of 995, 595, 425, 428, 231?
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 995, 595, 425, 428, 231.
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}.