LCM of 117, 104, 909, 968, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 104, 909, 968, 905 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 117, 104, 909, 968, 905. So, keep reading to learn more.
Given numbers are 117,104,909,968,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,104,909,968,905 is 10352164680.
Find LCM of 117,104,909,968,905 with Prime Factorization
| 2 | 117, 104, 909, 968, 905 |
| 2 | 117, 52, 909, 484, 905 |
| 2 | 117, 26, 909, 242, 905 |
| 3 | 117, 13, 909, 121, 905 |
| 3 | 39, 13, 303, 121, 905 |
| 13 | 13, 13, 101, 121, 905 |
| 1, 1, 101, 121, 905 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 1 x 1 x 101 x 121 x 905 = 10352164680
Therefore, the lowest common multiple of 117,104,909,968,905 is 10352164680.
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.
117 x 104 x 909 x 968 x 905 = 9689626140480
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.
117 : 1, 3, 9, 13, 39, 117
104 : 1, 2, 4, 8, 13, 26, 52, 104
909 : 1, 3, 9, 101, 303, 909
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,104,909,968,905, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
104:2x 2x 2x 13
909:3x 3x 101
968:2x 2x 2x 11x 11
905:5x 181
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 13 = 936
Therefore, the value for common factors is 936.
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 = 9689626140480/(1x936)
LCM = 9689626140480/936
LCM = 10352164680
Thus, we can understand that the LCM of 117,104,909,968,905 is 10352164680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 117, 104, 909, 968, 905
1. What is the LCM of 117, 104, 909, 968, 905?
Answer: LCM of 117, 104, 909, 968, 905 is 10352164680.
2. How to calculate the LCM of 117, 104, 909, 968, 905?
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 117, 104, 909, 968, 905.
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}.