LCM of 828, 644, 731, 871, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 644, 731, 871, 386 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 828, 644, 731, 871, 386. So, keep reading to learn more.
Given numbers are 828,644,731,871,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,644,731,871,386 is 712231566228.
Find LCM of 828,644,731,871,386 with Prime Factorization
| 2 | 828, 644, 731, 871, 386 |
| 2 | 414, 322, 731, 871, 193 |
| 23 | 207, 161, 731, 871, 193 |
| 9, 7, 731, 871, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 9 x 7 x 731 x 871 x 193 = 712231566228
Therefore, the lowest common multiple of 828,644,731,871,386 is 712231566228.
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.
828 x 644 x 731 x 871 x 386 = 131050608185952
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
731 : 1, 17, 43, 731
871 : 1, 13, 67, 871
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,644,731,871,386, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
644:2x 2x 7x 23
731:17x 43
871:13x 67
386:2x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 131050608185952/(1x184)
LCM = 131050608185952/184
LCM = 712231566228
Thus, we can understand that the LCM of 828,644,731,871,386 is 712231566228.
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FAQs on LCM of 828, 644, 731, 871, 386
1. What is the LCM of 828, 644, 731, 871, 386?
Answer: LCM of 828, 644, 731, 871, 386 is 712231566228.
2. How to calculate the LCM of 828, 644, 731, 871, 386?
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 828, 644, 731, 871, 386.
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}.