LCM of 852, 566, 832, 647, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 566, 832, 647, 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 852, 566, 832, 647, 957. So, keep reading to learn more.
Given numbers are 852,566,832,647,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,566,832,647,957 is 10351048154304.
Find LCM of 852,566,832,647,957 with Prime Factorization
| 2 | 852, 566, 832, 647, 957 |
| 2 | 426, 283, 416, 647, 957 |
| 3 | 213, 283, 208, 647, 957 |
| 71, 283, 208, 647, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 283 x 208 x 647 x 319 = 10351048154304
Therefore, the lowest common multiple of 852,566,832,647,957 is 10351048154304.
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 566 x 832 x 647 x 957 = 248425155703296
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
566 : 1, 2, 283, 566
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
647 : 1, 647
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 852,566,832,647,957, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
566:2x 283
832:2x 2x 2x 2x 2x 2x 13
647:647
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 248425155703296/(1x24)
LCM = 248425155703296/24
LCM = 10351048154304
Thus, we can understand that the LCM of 852,566,832,647,957 is 10351048154304.
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FAQs on LCM of 852, 566, 832, 647, 957
1. What is the LCM of 852, 566, 832, 647, 957?
Answer: LCM of 852, 566, 832, 647, 957 is 10351048154304.
2. How to calculate the LCM of 852, 566, 832, 647, 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 852, 566, 832, 647, 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}.