LCM of 848, 519, 914, 972, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 519, 914, 972, 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 848, 519, 914, 972, 852. So, keep reading to learn more.
Given numbers are 848,519,914,972,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,519,914,972,852 is 1156705439184.
Find LCM of 848,519,914,972,852 with Prime Factorization
| 2 | 848, 519, 914, 972, 852 |
| 2 | 424, 519, 457, 486, 426 |
| 3 | 212, 519, 457, 243, 213 |
| 212, 173, 457, 81, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 212 x 173 x 457 x 81 x 71 = 1156705439184
Therefore, the lowest common multiple of 848,519,914,972,852 is 1156705439184.
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.
848 x 519 x 914 x 972 x 852 = 333131166484992
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
519 : 1, 3, 173, 519
914 : 1, 2, 457, 914
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 848,519,914,972,852, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
519:3x 173
914:2x 457
972:2x 2x 3x 3x 3x 3x 3
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 333131166484992/(1x288)
LCM = 333131166484992/288
LCM = 1156705439184
Thus, we can understand that the LCM of 848,519,914,972,852 is 1156705439184.
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FAQs on LCM of 848, 519, 914, 972, 852
1. What is the LCM of 848, 519, 914, 972, 852?
Answer: LCM of 848, 519, 914, 972, 852 is 1156705439184.
2. How to calculate the LCM of 848, 519, 914, 972, 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 848, 519, 914, 972, 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}.