LCM of 687, 867, 308, 902, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 867, 308, 902, 759 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, 867, 308, 902, 759. So, keep reading to learn more.
Given numbers are 687,867,308,902,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,867,308,902,759 is 57665623092.
Find LCM of 687,867,308,902,759 with Prime Factorization
| 2 | 687, 867, 308, 902, 759 |
| 3 | 687, 867, 154, 451, 759 |
| 11 | 229, 289, 154, 451, 253 |
| 229, 289, 14, 41, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 229 x 289 x 14 x 41 x 23 = 57665623092
Therefore, the lowest common multiple of 687,867,308,902,759 is 57665623092.
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 867 x 308 x 902 x 759 = 125595727094376
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
867 : 1, 3, 17, 51, 289, 867
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
902 : 1, 2, 11, 22, 41, 82, 451, 902
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,867,308,902,759, is 1.
Now, the common factors can be found like this.
687:3x 229
867:3x 17x 17
308:2x 2x 7x 11
902:2x 11x 41
759:3x 11x 23
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 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 125595727094376/(1x2178)
LCM = 125595727094376/2178
LCM = 57665623092
Thus, we can understand that the LCM of 687,867,308,902,759 is 57665623092.
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FAQs on LCM of 687, 867, 308, 902, 759
1. What is the LCM of 687, 867, 308, 902, 759?
Answer: LCM of 687, 867, 308, 902, 759 is 57665623092.
2. How to calculate the LCM of 687, 867, 308, 902, 759?
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, 867, 308, 902, 759.
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}.