LCM of 189, 115, 207, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 115, 207, 871 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 189, 115, 207, 871. So, keep reading to learn more.
Given numbers are 189,115,207,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,115,207,871 is 18931185.
Find LCM of 189,115,207,871 with Prime Factorization
| 3 | 189, 115, 207, 871 |
| 3 | 63, 115, 69, 871 |
| 23 | 21, 115, 23, 871 |
| 21, 5, 1, 871 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 21 x 5 x 1 x 871 = 18931185
Therefore, the lowest common multiple of 189,115,207,871 is 18931185.
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.
189 x 115 x 207 x 871 = 3918755295
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
115 : 1, 5, 23, 115
207 : 1, 3, 9, 23, 69, 207
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,115,207,871, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
115:5x 23
207:3x 3x 23
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 3918755295/(1x207)
LCM = 3918755295/207
LCM = 18931185
Thus, we can understand that the LCM of 189,115,207,871 is 18931185.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 189, 115, 207, 871
1. What is the LCM of 189, 115, 207, 871?
Answer: LCM of 189, 115, 207, 871 is 18931185.
2. How to calculate the LCM of 189, 115, 207, 871?
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 189, 115, 207, 871.
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}.