LCM of 193, 897, 168, 964, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 897, 168, 964, 161 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 193, 897, 168, 964, 161. So, keep reading to learn more.
Given numbers are 193,897,168,964,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,897,168,964,161 is 2336441016.
Find LCM of 193,897,168,964,161 with Prime Factorization
| 2 | 193, 897, 168, 964, 161 |
| 2 | 193, 897, 84, 482, 161 |
| 3 | 193, 897, 42, 241, 161 |
| 7 | 193, 299, 14, 241, 161 |
| 23 | 193, 299, 2, 241, 23 |
| 193, 13, 2, 241, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 193 x 13 x 2 x 241 x 1 = 2336441016
Therefore, the lowest common multiple of 193,897,168,964,161 is 2336441016.
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.
193 x 897 x 168 x 964 x 161 = 4514004042912
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.
193 : 1, 193
897 : 1, 3, 13, 23, 39, 69, 299, 897
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
964 : 1, 2, 4, 241, 482, 964
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,897,168,964,161, is 1.
Now, the common factors can be found like this.
193:193
897:3x 13x 23
168:2x 2x 2x 3x 7
964:2x 2x 241
161:7x 23
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 3x 7x 23 = 1932
Therefore, the value for common factors is 1932.
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 = 4514004042912/(1x1932)
LCM = 4514004042912/1932
LCM = 2336441016
Thus, we can understand that the LCM of 193,897,168,964,161 is 2336441016.
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FAQs on LCM of 193, 897, 168, 964, 161
1. What is the LCM of 193, 897, 168, 964, 161?
Answer: LCM of 193, 897, 168, 964, 161 is 2336441016.
2. How to calculate the LCM of 193, 897, 168, 964, 161?
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 193, 897, 168, 964, 161.
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}.