LCM of 308, 209, 306, 380, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 209, 306, 380, 273 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 308, 209, 306, 380, 273. So, keep reading to learn more.
Given numbers are 308,209,306,380,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,209,306,380,273 is 58198140.
Find LCM of 308,209,306,380,273 with Prime Factorization
| 2 | 308, 209, 306, 380, 273 |
| 2 | 154, 209, 153, 190, 273 |
| 3 | 77, 209, 153, 95, 273 |
| 7 | 77, 209, 51, 95, 91 |
| 11 | 11, 209, 51, 95, 13 |
| 19 | 1, 19, 51, 95, 13 |
| 1, 1, 51, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 19 x 1 x 1 x 51 x 5 x 13 = 58198140
Therefore, the lowest common multiple of 308,209,306,380,273 is 58198140.
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.
308 x 209 x 306 x 380 x 273 = 2043453091680
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
209 : 1, 11, 19, 209
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,209,306,380,273, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
209:11x 19
306:2x 3x 3x 17
380:2x 2x 5x 19
273:3x 7x 13
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 3x 7x 11x 19 = 35112
Therefore, the value for common factors is 35112.
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 = 2043453091680/(1x35112)
LCM = 2043453091680/35112
LCM = 58198140
Thus, we can understand that the LCM of 308,209,306,380,273 is 58198140.
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FAQs on LCM of 308, 209, 306, 380, 273
1. What is the LCM of 308, 209, 306, 380, 273?
Answer: LCM of 308, 209, 306, 380, 273 is 58198140.
2. How to calculate the LCM of 308, 209, 306, 380, 273?
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 308, 209, 306, 380, 273.
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}.