LCM of 685, 189, 379, 990, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 189, 379, 990, 180 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 685, 189, 379, 990, 180. So, keep reading to learn more.
Given numbers are 685,189,379,990,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,189,379,990,180 is 2158958340.
Find LCM of 685,189,379,990,180 with Prime Factorization
| 2 | 685, 189, 379, 990, 180 |
| 3 | 685, 189, 379, 495, 90 |
| 3 | 685, 63, 379, 165, 30 |
| 5 | 685, 21, 379, 55, 10 |
| 137, 21, 379, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 137 x 21 x 379 x 11 x 2 = 2158958340
Therefore, the lowest common multiple of 685,189,379,990,180 is 2158958340.
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.
685 x 189 x 379 x 990 x 180 = 8743781277000
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.
685 : 1, 5, 137, 685
189 : 1, 3, 7, 9, 21, 27, 63, 189
379 : 1, 379
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,189,379,990,180, is 1.
Now, the common factors can be found like this.
685:5x 137
189:3x 3x 3x 7
379:379
990:2x 3x 3x 5x 11
180:2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 5 = 4050
Therefore, the value for common factors is 4050.
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 = 8743781277000/(1x4050)
LCM = 8743781277000/4050
LCM = 2158958340
Thus, we can understand that the LCM of 685,189,379,990,180 is 2158958340.
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FAQs on LCM of 685, 189, 379, 990, 180
1. What is the LCM of 685, 189, 379, 990, 180?
Answer: LCM of 685, 189, 379, 990, 180 is 2158958340.
2. How to calculate the LCM of 685, 189, 379, 990, 180?
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 685, 189, 379, 990, 180.
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}.