LCM of 166, 913, 975, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 913, 975, 338 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 166, 913, 975, 338. So, keep reading to learn more.
Given numbers are 166,913,975,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,913,975,338 is 23144550.
Find LCM of 166,913,975,338 with Prime Factorization
| 2 | 166, 913, 975, 338 |
| 13 | 83, 913, 975, 169 |
| 83 | 83, 913, 75, 13 |
| 1, 11, 75, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 83 x 1 x 11 x 75 x 13 = 23144550
Therefore, the lowest common multiple of 166,913,975,338 is 23144550.
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.
166 x 913 x 975 x 338 = 49945938900
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.
166 : 1, 2, 83, 166
913 : 1, 11, 83, 913
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,913,975,338, is 1.
Now, the common factors can be found like this.
166:2x 83
913:11x 83
975:3x 5x 5x 13
338:2x 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 13x 83 = 2158
Therefore, the value for common factors is 2158.
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 = 49945938900/(1x2158)
LCM = 49945938900/2158
LCM = 23144550
Thus, we can understand that the LCM of 166,913,975,338 is 23144550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 166, 913, 975, 338
1. What is the LCM of 166, 913, 975, 338?
Answer: LCM of 166, 913, 975, 338 is 23144550.
2. How to calculate the LCM of 166, 913, 975, 338?
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 166, 913, 975, 338.
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}.