LCM of 687, 819, 270, 968, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 819, 270, 968, 845 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, 819, 270, 968, 845. So, keep reading to learn more.
Given numbers are 687,819,270,968,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,819,270,968,845 is 35402126760.
Find LCM of 687,819,270,968,845 with Prime Factorization
| 2 | 687, 819, 270, 968, 845 |
| 3 | 687, 819, 135, 484, 845 |
| 3 | 229, 273, 45, 484, 845 |
| 5 | 229, 91, 15, 484, 845 |
| 13 | 229, 91, 3, 484, 169 |
| 229, 7, 3, 484, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 229 x 7 x 3 x 484 x 13 = 35402126760
Therefore, the lowest common multiple of 687,819,270,968,845 is 35402126760.
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 819 x 270 x 968 x 845 = 124261464927600
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,819,270,968,845, is 1.
Now, the common factors can be found like this.
687:3x 229
819:3x 3x 7x 13
270:2x 3x 3x 3x 5
968:2x 2x 2x 11x 11
845:5x 13x 13
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 3x 5x 13 = 3510
Therefore, the value for common factors is 3510.
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 = 124261464927600/(1x3510)
LCM = 124261464927600/3510
LCM = 35402126760
Thus, we can understand that the LCM of 687,819,270,968,845 is 35402126760.
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FAQs on LCM of 687, 819, 270, 968, 845
1. What is the LCM of 687, 819, 270, 968, 845?
Answer: LCM of 687, 819, 270, 968, 845 is 35402126760.
2. How to calculate the LCM of 687, 819, 270, 968, 845?
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, 819, 270, 968, 845.
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}.