LCM of 289, 869, 935, 121, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 869, 935, 121, 268 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, 869, 935, 121, 268. So, keep reading to learn more.
Given numbers are 289,869,935,121,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,869,935,121,268 is 3701818340.
Find LCM of 289,869,935,121,268 with Prime Factorization
| 11 | 289, 869, 935, 121, 268 |
| 17 | 289, 79, 85, 11, 268 |
| 17, 79, 5, 11, 268 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 17 x 79 x 5 x 11 x 268 = 3701818340
Therefore, the lowest common multiple of 289,869,935,121,268 is 3701818340.
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 869 x 935 x 121 x 268 = 7614640325380
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
869 : 1, 11, 79, 869
935 : 1, 5, 11, 17, 55, 85, 187, 935
121 : 1, 11, 121
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,869,935,121,268, is 1.
Now, the common factors can be found like this.
289:17x 17
869:11x 79
935:5x 11x 17
121:11x 11
268:2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 17 = 2057
Therefore, the value for common factors is 2057.
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 = 7614640325380/(1x2057)
LCM = 7614640325380/2057
LCM = 3701818340
Thus, we can understand that the LCM of 289,869,935,121,268 is 3701818340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 869, 935, 121, 268
1. What is the LCM of 289, 869, 935, 121, 268?
Answer: LCM of 289, 869, 935, 121, 268 is 3701818340.
2. How to calculate the LCM of 289, 869, 935, 121, 268?
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, 869, 935, 121, 268.
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}.