LCM of 627, 682, 355, 114, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 682, 355, 114, 949 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 627, 682, 355, 114, 949. So, keep reading to learn more.
Given numbers are 627,682,355,114,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,682,355,114,949 is 13096456230.
Find LCM of 627,682,355,114,949 with Prime Factorization
| 2 | 627, 682, 355, 114, 949 |
| 3 | 627, 341, 355, 57, 949 |
| 11 | 209, 341, 355, 19, 949 |
| 19 | 19, 31, 355, 19, 949 |
| 1, 31, 355, 1, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 1 x 31 x 355 x 1 x 949 = 13096456230
Therefore, the lowest common multiple of 627,682,355,114,949 is 13096456230.
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.
627 x 682 x 355 x 114 x 949 = 16422956112420
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
682 : 1, 2, 11, 22, 31, 62, 341, 682
355 : 1, 5, 71, 355
114 : 1, 2, 3, 6, 19, 38, 57, 114
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,682,355,114,949, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
682:2x 11x 31
355:5x 71
114:2x 3x 19
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 16422956112420/(1x1254)
LCM = 16422956112420/1254
LCM = 13096456230
Thus, we can understand that the LCM of 627,682,355,114,949 is 13096456230.
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FAQs on LCM of 627, 682, 355, 114, 949
1. What is the LCM of 627, 682, 355, 114, 949?
Answer: LCM of 627, 682, 355, 114, 949 is 13096456230.
2. How to calculate the LCM of 627, 682, 355, 114, 949?
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 627, 682, 355, 114, 949.
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}.