LCM of 289, 879, 276, 838, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 879, 276, 838, 262 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 289, 879, 276, 838, 262. So, keep reading to learn more.
Given numbers are 289,879,276,838,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,879,276,838,262 is 1282802695428.
Find LCM of 289,879,276,838,262 with Prime Factorization
| 2 | 289, 879, 276, 838, 262 |
| 3 | 289, 879, 138, 419, 131 |
| 289, 293, 46, 419, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 289 x 293 x 46 x 419 x 131 = 1282802695428
Therefore, the lowest common multiple of 289,879,276,838,262 is 1282802695428.
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.
289 x 879 x 276 x 838 x 262 = 15393632345136
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.
289 : 1, 17, 289
879 : 1, 3, 293, 879
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
838 : 1, 2, 419, 838
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,879,276,838,262, is 1.
Now, the common factors can be found like this.
289:17x 17
879:3x 293
276:2x 2x 3x 23
838:2x 419
262:2x 131
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 3 = 12
Therefore, the value for common factors is 12.
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 = 15393632345136/(1x12)
LCM = 15393632345136/12
LCM = 1282802695428
Thus, we can understand that the LCM of 289,879,276,838,262 is 1282802695428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 879, 276, 838, 262
1. What is the LCM of 289, 879, 276, 838, 262?
Answer: LCM of 289, 879, 276, 838, 262 is 1282802695428.
2. How to calculate the LCM of 289, 879, 276, 838, 262?
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 289, 879, 276, 838, 262.
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}.