LCM of 273, 396, 508, 325, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 396, 508, 325, 819 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 273, 396, 508, 325, 819. So, keep reading to learn more.
Given numbers are 273,396,508,325,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,396,508,325,819 is 114414300.
Find LCM of 273,396,508,325,819 with Prime Factorization
| 2 | 273, 396, 508, 325, 819 |
| 2 | 273, 198, 254, 325, 819 |
| 3 | 273, 99, 127, 325, 819 |
| 3 | 91, 33, 127, 325, 273 |
| 7 | 91, 11, 127, 325, 91 |
| 13 | 13, 11, 127, 325, 13 |
| 1, 11, 127, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 1 x 11 x 127 x 25 x 1 = 114414300
Therefore, the lowest common multiple of 273,396,508,325,819 is 114414300.
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.
273 x 396 x 508 x 325 x 819 = 14618028625200
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
508 : 1, 2, 4, 127, 254, 508
325 : 1, 5, 13, 25, 65, 325
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,396,508,325,819, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
396:2x 2x 3x 3x 11
508:2x 2x 127
325:5x 5x 13
819:3x 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 3x 3x 3x 7x 13x 13 = 127764
Therefore, the value for common factors is 127764.
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 = 14618028625200/(1x127764)
LCM = 14618028625200/127764
LCM = 114414300
Thus, we can understand that the LCM of 273,396,508,325,819 is 114414300.
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FAQs on LCM of 273, 396, 508, 325, 819
1. What is the LCM of 273, 396, 508, 325, 819?
Answer: LCM of 273, 396, 508, 325, 819 is 114414300.
2. How to calculate the LCM of 273, 396, 508, 325, 819?
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 273, 396, 508, 325, 819.
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}.