LCM of 124, 932, 527, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 932, 527, 289 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 124, 932, 527, 289. So, keep reading to learn more.
Given numbers are 124,932,527,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,932,527,289 is 8349788.
Find LCM of 124,932,527,289 with Prime Factorization
| 2 | 124, 932, 527, 289 |
| 2 | 62, 466, 527, 289 |
| 17 | 31, 233, 527, 289 |
| 31 | 31, 233, 31, 17 |
| 1, 233, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 31 x 1 x 233 x 1 x 17 = 8349788
Therefore, the lowest common multiple of 124,932,527,289 is 8349788.
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.
124 x 932 x 527 x 289 = 17601353104
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.
124 : 1, 2, 4, 31, 62, 124
932 : 1, 2, 4, 233, 466, 932
527 : 1, 17, 31, 527
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,932,527,289, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
932:2x 2x 233
527:17x 31
289:17x 17
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 17x 31 = 2108
Therefore, the value for common factors is 2108.
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 = 17601353104/(1x2108)
LCM = 17601353104/2108
LCM = 8349788
Thus, we can understand that the LCM of 124,932,527,289 is 8349788.
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FAQs on LCM of 124, 932, 527, 289
1. What is the LCM of 124, 932, 527, 289?
Answer: LCM of 124, 932, 527, 289 is 8349788.
2. How to calculate the LCM of 124, 932, 527, 289?
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 124, 932, 527, 289.
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}.