Find the LCM of 968, 827, 927, 917, 711 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 968, 827, 927, 917, 711. So, keep reading to learn more.
Given numbers are 968,827,927,917,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,827,927,917,711 is 53759723698296.
Find LCM of 968,827,927,917,711 with Prime Factorization
3 | 968, 827, 927, 917, 711 |
3 | 968, 827, 309, 917, 237 |
968, 827, 103, 917, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 968 x 827 x 103 x 917 x 79 = 53759723698296
Therefore, the lowest common multiple of 968,827,927,917,711 is 53759723698296.
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.
968 x 827 x 927 x 917 x 711 = 483837513284664
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
827 : 1, 827
927 : 1, 3, 9, 103, 309, 927
917 : 1, 7, 131, 917
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,827,927,917,711, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
827:827
927:3x 3x 103
917:7x 131
711:3x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 483837513284664/(1x9)
LCM = 483837513284664/9
LCM = 53759723698296
Thus, we can understand that the LCM of 968,827,927,917,711 is 53759723698296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 968, 827, 927, 917, 711?
Answer: LCM of 968, 827, 927, 917, 711 is 53759723698296.
2. How to calculate the LCM of 968, 827, 927, 917, 711?
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 968, 827, 927, 917, 711.
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}.