LCM of 117, 505, 244, 885
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 505, 244, 885 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, 505, 244, 885. So, keep reading to learn more.
Given numbers are 117,505,244,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,505,244,885 is 850587660.
Find LCM of 117,505,244,885 with Prime Factorization
| 3 | 117, 505, 244, 885 |
| 5 | 39, 505, 244, 295 |
| 39, 101, 244, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 39 x 101 x 244 x 59 = 850587660
Therefore, the lowest common multiple of 117,505,244,885 is 850587660.
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 505 x 244 x 885 = 12758814900
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
505 : 1, 5, 101, 505
244 : 1, 2, 4, 61, 122, 244
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,505,244,885, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
505:5x 101
244:2x 2x 61
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 12758814900/(1x15)
LCM = 12758814900/15
LCM = 850587660
Thus, we can understand that the LCM of 117,505,244,885 is 850587660.
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, 505, 244, 885
1. What is the LCM of 117, 505, 244, 885?
Answer: LCM of 117, 505, 244, 885 is 850587660.
2. How to calculate the LCM of 117, 505, 244, 885?
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, 505, 244, 885.
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}.