LCM of 871, 345, 828, 858, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 345, 828, 858, 995 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 871, 345, 828, 858, 995. So, keep reading to learn more.
Given numbers are 871,345,828,858,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,345,828,858,995 is 7893402660.
Find LCM of 871,345,828,858,995 with Prime Factorization
| 2 | 871, 345, 828, 858, 995 |
| 3 | 871, 345, 414, 429, 995 |
| 5 | 871, 115, 138, 143, 995 |
| 13 | 871, 23, 138, 143, 199 |
| 23 | 67, 23, 138, 11, 199 |
| 67, 1, 6, 11, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 67 x 1 x 6 x 11 x 199 = 7893402660
Therefore, the lowest common multiple of 871,345,828,858,995 is 7893402660.
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.
871 x 345 x 828 x 858 x 995 = 212411465580600
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.
871 : 1, 13, 67, 871
345 : 1, 3, 5, 15, 23, 69, 115, 345
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,345,828,858,995, is 1.
Now, the common factors can be found like this.
871:13x 67
345:3x 5x 23
828:2x 2x 3x 3x 23
858:2x 3x 11x 13
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13x 23 = 26910
Therefore, the value for common factors is 26910.
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 = 212411465580600/(1x26910)
LCM = 212411465580600/26910
LCM = 7893402660
Thus, we can understand that the LCM of 871,345,828,858,995 is 7893402660.
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FAQs on LCM of 871, 345, 828, 858, 995
1. What is the LCM of 871, 345, 828, 858, 995?
Answer: LCM of 871, 345, 828, 858, 995 is 7893402660.
2. How to calculate the LCM of 871, 345, 828, 858, 995?
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 871, 345, 828, 858, 995.
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}.