LCM of 220, 308, 920, 806, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 308, 920, 806, 204 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 220, 308, 920, 806, 204. So, keep reading to learn more.
Given numbers are 220,308,920,806,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,308,920,806,204 is 1455974520.
Find LCM of 220,308,920,806,204 with Prime Factorization
| 2 | 220, 308, 920, 806, 204 |
| 2 | 110, 154, 460, 403, 102 |
| 5 | 55, 77, 230, 403, 51 |
| 11 | 11, 77, 46, 403, 51 |
| 1, 7, 46, 403, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 7 x 46 x 403 x 51 = 1455974520
Therefore, the lowest common multiple of 220,308,920,806,204 is 1455974520.
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.
220 x 308 x 920 x 806 x 204 = 10250060620800
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
806 : 1, 2, 13, 26, 31, 62, 403, 806
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,308,920,806,204, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
308:2x 2x 7x 11
920:2x 2x 2x 5x 23
806:2x 13x 31
204:2x 2x 3x 17
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 2x 2x 2x 2x 5x 11 = 3520
Therefore, the value for common factors is 3520.
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 = 10250060620800/(2x3520)
LCM = 10250060620800/7040
LCM = 1455974520
Thus, we can understand that the LCM of 220,308,920,806,204 is 1455974520.
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FAQs on LCM of 220, 308, 920, 806, 204
1. What is the LCM of 220, 308, 920, 806, 204?
Answer: LCM of 220, 308, 920, 806, 204 is 1455974520.
2. How to calculate the LCM of 220, 308, 920, 806, 204?
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 220, 308, 920, 806, 204.
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}.