LCM of 869, 579, 237, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 579, 237, 277 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 869, 579, 237, 277. So, keep reading to learn more.
Given numbers are 869,579,237,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,579,237,277 is 139372827.
Find LCM of 869,579,237,277 with Prime Factorization
| 3 | 869, 579, 237, 277 |
| 79 | 869, 193, 79, 277 |
| 11, 193, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
3 x 79 x 11 x 193 x 1 x 277 = 139372827
Therefore, the lowest common multiple of 869,579,237,277 is 139372827.
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.
869 x 579 x 237 x 277 = 33031359999
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.
869 : 1, 11, 79, 869
579 : 1, 3, 193, 579
237 : 1, 3, 79, 237
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,579,237,277, is 1.
Now, the common factors can be found like this.
869:11x 79
579:3x 193
237:3x 79
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 79 = 237
Therefore, the value for common factors is 237.
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 = 33031359999/(1x237)
LCM = 33031359999/237
LCM = 139372827
Thus, we can understand that the LCM of 869,579,237,277 is 139372827.
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FAQs on LCM of 869, 579, 237, 277
1. What is the LCM of 869, 579, 237, 277?
Answer: LCM of 869, 579, 237, 277 is 139372827.
2. How to calculate the LCM of 869, 579, 237, 277?
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 869, 579, 237, 277.
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}.