LCM of 522, 388, 715, 835, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 388, 715, 835, 852 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 522, 388, 715, 835, 852. So, keep reading to learn more.
Given numbers are 522,388,715,835,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,388,715,835,852 is 858525293340.
Find LCM of 522,388,715,835,852 with Prime Factorization
| 2 | 522, 388, 715, 835, 852 |
| 2 | 261, 194, 715, 835, 426 |
| 3 | 261, 97, 715, 835, 213 |
| 5 | 87, 97, 715, 835, 71 |
| 87, 97, 143, 167, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 87 x 97 x 143 x 167 x 71 = 858525293340
Therefore, the lowest common multiple of 522,388,715,835,852 is 858525293340.
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.
522 x 388 x 715 x 835 x 852 = 103023035200800
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
388 : 1, 2, 4, 97, 194, 388
715 : 1, 5, 11, 13, 55, 65, 143, 715
835 : 1, 5, 167, 835
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,388,715,835,852, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
388:2x 2x 97
715:5x 11x 13
835:5x 167
852:2x 2x 3x 71
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 5 = 120
Therefore, the value for common factors is 120.
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 = 103023035200800/(1x120)
LCM = 103023035200800/120
LCM = 858525293340
Thus, we can understand that the LCM of 522,388,715,835,852 is 858525293340.
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FAQs on LCM of 522, 388, 715, 835, 852
1. What is the LCM of 522, 388, 715, 835, 852?
Answer: LCM of 522, 388, 715, 835, 852 is 858525293340.
2. How to calculate the LCM of 522, 388, 715, 835, 852?
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 522, 388, 715, 835, 852.
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}.