LCM of 273, 309, 279, 848, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 309, 279, 848, 954 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, 309, 279, 848, 954. So, keep reading to learn more.
Given numbers are 273,309,279,848,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,309,279,848,954 is 2217576816.
Find LCM of 273,309,279,848,954 with Prime Factorization
| 2 | 273, 309, 279, 848, 954 |
| 3 | 273, 309, 279, 424, 477 |
| 3 | 91, 103, 93, 424, 159 |
| 53 | 91, 103, 31, 424, 53 |
| 91, 103, 31, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 91 x 103 x 31 x 8 x 1 = 2217576816
Therefore, the lowest common multiple of 273,309,279,848,954 is 2217576816.
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 309 x 279 x 848 x 954 = 19040114542176
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
309 : 1, 3, 103, 309
279 : 1, 3, 9, 31, 93, 279
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,309,279,848,954, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
309:3x 103
279:3x 3x 31
848:2x 2x 2x 2x 53
954:2x 3x 3x 53
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 53 = 8586
Therefore, the value for common factors is 8586.
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 = 19040114542176/(1x8586)
LCM = 19040114542176/8586
LCM = 2217576816
Thus, we can understand that the LCM of 273,309,279,848,954 is 2217576816.
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FAQs on LCM of 273, 309, 279, 848, 954
1. What is the LCM of 273, 309, 279, 848, 954?
Answer: LCM of 273, 309, 279, 848, 954 is 2217576816.
2. How to calculate the LCM of 273, 309, 279, 848, 954?
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, 309, 279, 848, 954.
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}.