LCM of 117, 885, 505, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 885, 505, 166 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, 885, 505, 166. So, keep reading to learn more.
Given numbers are 117,885,505,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,885,505,166 is 578678490.
Find LCM of 117,885,505,166 with Prime Factorization
| 3 | 117, 885, 505, 166 |
| 5 | 39, 295, 505, 166 |
| 39, 59, 101, 166 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 39 x 59 x 101 x 166 = 578678490
Therefore, the lowest common multiple of 117,885,505,166 is 578678490.
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 885 x 505 x 166 = 8680177350
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
885 : 1, 3, 5, 15, 59, 177, 295, 885
505 : 1, 5, 101, 505
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,885,505,166, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
885:3x 5x 59
505:5x 101
166:2x 83
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 = 8680177350/(1x15)
LCM = 8680177350/15
LCM = 578678490
Thus, we can understand that the LCM of 117,885,505,166 is 578678490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 885, 505, 166
1. What is the LCM of 117, 885, 505, 166?
Answer: LCM of 117, 885, 505, 166 is 578678490.
2. How to calculate the LCM of 117, 885, 505, 166?
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, 885, 505, 166.
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}.