LCM of 106, 548, 913, 418, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 548, 913, 418, 954 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 106, 548, 913, 418, 954. So, keep reading to learn more.
Given numbers are 106,548,913,418,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,548,913,418,954 is 4534436412.
Find LCM of 106,548,913,418,954 with Prime Factorization
| 2 | 106, 548, 913, 418, 954 |
| 11 | 53, 274, 913, 209, 477 |
| 53 | 53, 274, 83, 19, 477 |
| 1, 274, 83, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 53 x 1 x 274 x 83 x 19 x 9 = 4534436412
Therefore, the lowest common multiple of 106,548,913,418,954 is 4534436412.
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.
106 x 548 x 913 x 418 x 954 = 21148611425568
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.
106 : 1, 2, 53, 106
548 : 1, 2, 4, 137, 274, 548
913 : 1, 11, 83, 913
418 : 1, 2, 11, 19, 22, 38, 209, 418
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,548,913,418,954, is 1.
Now, the common factors can be found like this.
106:2x 53
548:2x 2x 137
913:11x 83
418:2x 11x 19
954:2x 3x 3x 53
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 11x 53 = 4664
Therefore, the value for common factors is 4664.
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 = 21148611425568/(1x4664)
LCM = 21148611425568/4664
LCM = 4534436412
Thus, we can understand that the LCM of 106,548,913,418,954 is 4534436412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 548, 913, 418, 954
1. What is the LCM of 106, 548, 913, 418, 954?
Answer: LCM of 106, 548, 913, 418, 954 is 4534436412.
2. How to calculate the LCM of 106, 548, 913, 418, 954?
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 106, 548, 913, 418, 954.
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}.