Find the LCM of 138, 529, 957, 468, 932 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 138, 529, 957, 468, 932. So, keep reading to learn more.
Given numbers are 138,529,957,468,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,529,957,468,932 is 18401284044.
Find LCM of 138,529,957,468,932 with Prime Factorization
2 | 138, 529, 957, 468, 932 |
2 | 69, 529, 957, 234, 466 |
3 | 69, 529, 957, 117, 233 |
23 | 23, 529, 319, 39, 233 |
1, 23, 319, 39, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 1 x 23 x 319 x 39 x 233 = 18401284044
Therefore, the lowest common multiple of 138,529,957,468,932 is 18401284044.
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.
138 x 529 x 957 x 468 x 932 = 30472526376864
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
529 : 1, 23, 529
957 : 1, 3, 11, 29, 33, 87, 319, 957
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,529,957,468,932, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
529:23x 23
957:3x 11x 29
468:2x 2x 3x 3x 13
932:2x 2x 233
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 23 = 1656
Therefore, the value for common factors is 1656.
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 = 30472526376864/(1x1656)
LCM = 30472526376864/1656
LCM = 18401284044
Thus, we can understand that the LCM of 138,529,957,468,932 is 18401284044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 529, 957, 468, 932?
Answer: LCM of 138, 529, 957, 468, 932 is 18401284044.
2. How to calculate the LCM of 138, 529, 957, 468, 932?
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 138, 529, 957, 468, 932.
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}.