LCM of 205, 221, 884, 820, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 221, 884, 820, 621 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 205, 221, 884, 820, 621. So, keep reading to learn more.
Given numbers are 205,221,884,820,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,221,884,820,621 is 112537620.
Find LCM of 205,221,884,820,621 with Prime Factorization
| 2 | 205, 221, 884, 820, 621 |
| 2 | 205, 221, 442, 410, 621 |
| 5 | 205, 221, 221, 205, 621 |
| 13 | 41, 221, 221, 41, 621 |
| 17 | 41, 17, 17, 41, 621 |
| 41 | 41, 1, 1, 41, 621 |
| 1, 1, 1, 1, 621 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 41 x 1 x 1 x 1 x 1 x 621 = 112537620
Therefore, the lowest common multiple of 205,221,884,820,621 is 112537620.
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.
205 x 221 x 884 x 820 x 621 = 20394067496400
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.
205 : 1, 5, 41, 205
221 : 1, 13, 17, 221
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,221,884,820,621, is 1.
Now, the common factors can be found like this.
205:5x 41
221:13x 17
884:2x 2x 13x 17
820:2x 2x 5x 41
621:3x 3x 3x 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 5x 13x 17x 41 = 181220
Therefore, the value for common factors is 181220.
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 = 20394067496400/(1x181220)
LCM = 20394067496400/181220
LCM = 112537620
Thus, we can understand that the LCM of 205,221,884,820,621 is 112537620.
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FAQs on LCM of 205, 221, 884, 820, 621
1. What is the LCM of 205, 221, 884, 820, 621?
Answer: LCM of 205, 221, 884, 820, 621 is 112537620.
2. How to calculate the LCM of 205, 221, 884, 820, 621?
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 205, 221, 884, 820, 621.
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}.