LCM of 852, 957, 165, 296, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 957, 165, 296, 950 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 852, 957, 165, 296, 950. So, keep reading to learn more.
Given numbers are 852,957,165,296,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,957,165,296,950 is 9553348200.
Find LCM of 852,957,165,296,950 with Prime Factorization
| 2 | 852, 957, 165, 296, 950 |
| 2 | 426, 957, 165, 148, 475 |
| 3 | 213, 957, 165, 74, 475 |
| 5 | 71, 319, 55, 74, 475 |
| 11 | 71, 319, 11, 74, 95 |
| 71, 29, 1, 74, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 71 x 29 x 1 x 74 x 95 = 9553348200
Therefore, the lowest common multiple of 852,957,165,296,950 is 9553348200.
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.
852 x 957 x 165 x 296 x 950 = 37831258872000
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
957 : 1, 3, 11, 29, 33, 87, 319, 957
165 : 1, 3, 5, 11, 15, 33, 55, 165
296 : 1, 2, 4, 8, 37, 74, 148, 296
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,957,165,296,950, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
957:3x 11x 29
165:3x 5x 11
296:2x 2x 2x 37
950:2x 5x 5x 19
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 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 37831258872000/(1x3960)
LCM = 37831258872000/3960
LCM = 9553348200
Thus, we can understand that the LCM of 852,957,165,296,950 is 9553348200.
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FAQs on LCM of 852, 957, 165, 296, 950
1. What is the LCM of 852, 957, 165, 296, 950?
Answer: LCM of 852, 957, 165, 296, 950 is 9553348200.
2. How to calculate the LCM of 852, 957, 165, 296, 950?
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 852, 957, 165, 296, 950.
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}.