LCM of 852, 572, 972, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 572, 972, 891 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, 572, 972, 891. So, keep reading to learn more.
Given numbers are 852,572,972,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,572,972,891 is 9868716.
Find LCM of 852,572,972,891 with Prime Factorization
| 2 | 852, 572, 972, 891 |
| 2 | 426, 286, 486, 891 |
| 3 | 213, 143, 243, 891 |
| 3 | 71, 143, 81, 297 |
| 3 | 71, 143, 27, 99 |
| 3 | 71, 143, 9, 33 |
| 11 | 71, 143, 3, 11 |
| 71, 13, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 11 x 71 x 13 x 3 x 1 = 9868716
Therefore, the lowest common multiple of 852,572,972,891 is 9868716.
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 572 x 972 x 891 = 422065245888
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,572,972,891, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
572:2x 2x 11x 13
972:2x 2x 3x 3x 3x 3x 3
891:3x 3x 3x 3x 11
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 3x 3x 3x 3x 3x 11 = 42768
Therefore, the value for common factors is 42768.
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 = 422065245888/(1x42768)
LCM = 422065245888/42768
LCM = 9868716
Thus, we can understand that the LCM of 852,572,972,891 is 9868716.
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FAQs on LCM of 852, 572, 972, 891
1. What is the LCM of 852, 572, 972, 891?
Answer: LCM of 852, 572, 972, 891 is 9868716.
2. How to calculate the LCM of 852, 572, 972, 891?
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, 572, 972, 891.
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}.