LCM of 841, 682, 728, 217, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 682, 728, 217, 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 841, 682, 728, 217, 949. So, keep reading to learn more.
Given numbers are 841,682,728,217,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,682,728,217,949 is 15240689464.
Find LCM of 841,682,728,217,949 with Prime Factorization
| 2 | 841, 682, 728, 217, 949 |
| 7 | 841, 341, 364, 217, 949 |
| 13 | 841, 341, 52, 31, 949 |
| 31 | 841, 341, 4, 31, 73 |
| 841, 11, 4, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 31 x 841 x 11 x 4 x 1 x 73 = 15240689464
Therefore, the lowest common multiple of 841,682,728,217,949 is 15240689464.
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.
841 x 682 x 728 x 217 x 949 = 85987969955888
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.
841 : 1, 29, 841
682 : 1, 2, 11, 22, 31, 62, 341, 682
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
217 : 1, 7, 31, 217
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,682,728,217,949, is 1.
Now, the common factors can be found like this.
841:29x 29
682:2x 11x 31
728:2x 2x 2x 7x 13
217:7x 31
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 7x 13x 31 = 5642
Therefore, the value for common factors is 5642.
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 = 85987969955888/(1x5642)
LCM = 85987969955888/5642
LCM = 15240689464
Thus, we can understand that the LCM of 841,682,728,217,949 is 15240689464.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 841, 682, 728, 217, 949
1. What is the LCM of 841, 682, 728, 217, 949?
Answer: LCM of 841, 682, 728, 217, 949 is 15240689464.
2. How to calculate the LCM of 841, 682, 728, 217, 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 841, 682, 728, 217, 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}.