Find the LCM of 521, 828, 173, 696, 957 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 521, 828, 173, 696, 957. So, keep reading to learn more.
Given numbers are 521,828,173,696,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,828,173,696,957 is 47614019112.
Find LCM of 521,828,173,696,957 with Prime Factorization
2 | 521, 828, 173, 696, 957 |
2 | 521, 414, 173, 348, 957 |
3 | 521, 207, 173, 174, 957 |
29 | 521, 69, 173, 58, 319 |
521, 69, 173, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 521 x 69 x 173 x 2 x 11 = 47614019112
Therefore, the lowest common multiple of 521,828,173,696,957 is 47614019112.
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.
521 x 828 x 173 x 696 x 957 = 49709035952928
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.
521 : 1, 521
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
173 : 1, 173
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,828,173,696,957, is 1.
Now, the common factors can be found like this.
521:521
828:2x 2x 3x 3x 23
173:173
696:2x 2x 2x 3x 29
957:3x 11x 29
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 3x 3x 29 = 1044
Therefore, the value for common factors is 1044.
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 = 49709035952928/(1x1044)
LCM = 49709035952928/1044
LCM = 47614019112
Thus, we can understand that the LCM of 521,828,173,696,957 is 47614019112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 521, 828, 173, 696, 957?
Answer: LCM of 521, 828, 173, 696, 957 is 47614019112.
2. How to calculate the LCM of 521, 828, 173, 696, 957?
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 521, 828, 173, 696, 957.
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}.