LCM of 204, 663, 189, 121, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 663, 189, 121, 990 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 204, 663, 189, 121, 990. So, keep reading to learn more.
Given numbers are 204,663,189,121,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,663,189,121,990 is 101080980.
Find LCM of 204,663,189,121,990 with Prime Factorization
| 2 | 204, 663, 189, 121, 990 |
| 3 | 102, 663, 189, 121, 495 |
| 3 | 34, 221, 63, 121, 165 |
| 11 | 34, 221, 21, 121, 55 |
| 17 | 34, 221, 21, 11, 5 |
| 2, 13, 21, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 2 x 13 x 21 x 11 x 5 = 101080980
Therefore, the lowest common multiple of 204,663,189,121,990 is 101080980.
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.
204 x 663 x 189 x 121 x 990 = 3062147208120
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
663 : 1, 3, 13, 17, 39, 51, 221, 663
189 : 1, 3, 7, 9, 21, 27, 63, 189
121 : 1, 11, 121
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,663,189,121,990, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
663:3x 13x 17
189:3x 3x 3x 7
121:11x 11
990:2x 3x 3x 5x 11
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 11x 17 = 30294
Therefore, the value for common factors is 30294.
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 = 3062147208120/(1x30294)
LCM = 3062147208120/30294
LCM = 101080980
Thus, we can understand that the LCM of 204,663,189,121,990 is 101080980.
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FAQs on LCM of 204, 663, 189, 121, 990
1. What is the LCM of 204, 663, 189, 121, 990?
Answer: LCM of 204, 663, 189, 121, 990 is 101080980.
2. How to calculate the LCM of 204, 663, 189, 121, 990?
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 204, 663, 189, 121, 990.
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}.