LCM of 405, 973, 682, 180, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 973, 682, 180, 948 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 405, 973, 682, 180, 948. So, keep reading to learn more.
Given numbers are 405,973,682,180,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,973,682,180,948 is 42462868140.
Find LCM of 405,973,682,180,948 with Prime Factorization
| 2 | 405, 973, 682, 180, 948 |
| 2 | 405, 973, 341, 90, 474 |
| 3 | 405, 973, 341, 45, 237 |
| 3 | 135, 973, 341, 15, 79 |
| 5 | 45, 973, 341, 5, 79 |
| 9, 973, 341, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 9 x 973 x 341 x 1 x 79 = 42462868140
Therefore, the lowest common multiple of 405,973,682,180,948 is 42462868140.
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.
405 x 973 x 682 x 180 x 948 = 45859897591200
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
973 : 1, 7, 139, 973
682 : 1, 2, 11, 22, 31, 62, 341, 682
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,973,682,180,948, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
973:7x 139
682:2x 11x 31
180:2x 2x 3x 3x 5
948:2x 2x 3x 79
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 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 45859897591200/(1x1080)
LCM = 45859897591200/1080
LCM = 42462868140
Thus, we can understand that the LCM of 405,973,682,180,948 is 42462868140.
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FAQs on LCM of 405, 973, 682, 180, 948
1. What is the LCM of 405, 973, 682, 180, 948?
Answer: LCM of 405, 973, 682, 180, 948 is 42462868140.
2. How to calculate the LCM of 405, 973, 682, 180, 948?
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 405, 973, 682, 180, 948.
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}.