LCM of 237, 517, 951, 799, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 517, 951, 799, 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 237, 517, 951, 799, 289. So, keep reading to learn more.
Given numbers are 237,517,951,799,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,517,951,799,289 is 11225249277.
Find LCM of 237,517,951,799,289 with Prime Factorization
| 3 | 237, 517, 951, 799, 289 |
| 17 | 79, 517, 317, 799, 289 |
| 47 | 79, 517, 317, 47, 17 |
| 79, 11, 317, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 47 x 79 x 11 x 317 x 1 x 17 = 11225249277
Therefore, the lowest common multiple of 237,517,951,799,289 is 11225249277.
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.
237 x 517 x 951 x 799 x 289 = 26906922516969
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.
237 : 1, 3, 79, 237
517 : 1, 11, 47, 517
951 : 1, 3, 317, 951
799 : 1, 17, 47, 799
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,517,951,799,289, is 1.
Now, the common factors can be found like this.
237:3x 79
517:11x 47
951:3x 317
799:17x 47
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.
3x 17x 47 = 2397
Therefore, the value for common factors is 2397.
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 = 26906922516969/(1x2397)
LCM = 26906922516969/2397
LCM = 11225249277
Thus, we can understand that the LCM of 237,517,951,799,289 is 11225249277.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 237, 517, 951, 799, 289
1. What is the LCM of 237, 517, 951, 799, 289?
Answer: LCM of 237, 517, 951, 799, 289 is 11225249277.
2. How to calculate the LCM of 237, 517, 951, 799, 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 237, 517, 951, 799, 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}.