LCM of 189, 611, 299, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 611, 299, 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 189, 611, 299, 161. So, keep reading to learn more.
Given numbers are 189,611,299,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,611,299,161 is 2656017.
Find LCM of 189,611,299,161 with Prime Factorization
| 7 | 189, 611, 299, 161 |
| 13 | 27, 611, 299, 23 |
| 23 | 27, 47, 23, 23 |
| 27, 47, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 23 x 27 x 47 x 1 x 1 = 2656017
Therefore, the lowest common multiple of 189,611,299,161 is 2656017.
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 611 x 299 x 161 = 5559043581
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
611 : 1, 13, 47, 611
299 : 1, 13, 23, 299
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,611,299,161, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
611:13x 47
299:13x 23
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.
7x 13x 23 = 2093
Therefore, the value for common factors is 2093.
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 = 5559043581/(1x2093)
LCM = 5559043581/2093
LCM = 2656017
Thus, we can understand that the LCM of 189,611,299,161 is 2656017.
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FAQs on LCM of 189, 611, 299, 161
1. What is the LCM of 189, 611, 299, 161?
Answer: LCM of 189, 611, 299, 161 is 2656017.
2. How to calculate the LCM of 189, 611, 299, 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 189, 611, 299, 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}.