LCM of 687, 726, 828, 392, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 726, 828, 392, 891 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 687, 726, 828, 392, 891. So, keep reading to learn more.
Given numbers are 687,726,828,392,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,726,828,392,891 is 20235771864.
Find LCM of 687,726,828,392,891 with Prime Factorization
| 2 | 687, 726, 828, 392, 891 |
| 2 | 687, 363, 414, 196, 891 |
| 3 | 687, 363, 207, 98, 891 |
| 3 | 229, 121, 69, 98, 297 |
| 11 | 229, 121, 23, 98, 99 |
| 229, 11, 23, 98, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 229 x 11 x 23 x 98 x 9 = 20235771864
Therefore, the lowest common multiple of 687,726,828,392,891 is 20235771864.
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.
687 x 726 x 828 x 392 x 891 = 144240581846592
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.
687 : 1, 3, 229, 687
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,726,828,392,891, is 1.
Now, the common factors can be found like this.
687:3x 229
726:2x 3x 11x 11
828:2x 2x 3x 3x 23
392:2x 2x 2x 7x 7
891:3x 3x 3x 3x 11
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 3x 3x 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 144240581846592/(1x7128)
LCM = 144240581846592/7128
LCM = 20235771864
Thus, we can understand that the LCM of 687,726,828,392,891 is 20235771864.
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FAQs on LCM of 687, 726, 828, 392, 891
1. What is the LCM of 687, 726, 828, 392, 891?
Answer: LCM of 687, 726, 828, 392, 891 is 20235771864.
2. How to calculate the LCM of 687, 726, 828, 392, 891?
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 687, 726, 828, 392, 891.
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}.