LCM of 232, 112, 872, 897, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 112, 872, 897, 553 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 232, 112, 872, 897, 553. So, keep reading to learn more.
Given numbers are 232,112,872,897,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,112,872,897,553 is 25087769616.
Find LCM of 232,112,872,897,553 with Prime Factorization
| 2 | 232, 112, 872, 897, 553 |
| 2 | 116, 56, 436, 897, 553 |
| 2 | 58, 28, 218, 897, 553 |
| 7 | 29, 14, 109, 897, 553 |
| 29, 2, 109, 897, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 29 x 2 x 109 x 897 x 79 = 25087769616
Therefore, the lowest common multiple of 232,112,872,897,553 is 25087769616.
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.
232 x 112 x 872 x 897 x 553 = 11239320787968
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
872 : 1, 2, 4, 8, 109, 218, 436, 872
897 : 1, 3, 13, 23, 39, 69, 299, 897
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,112,872,897,553, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
112:2x 2x 2x 2x 7
872:2x 2x 2x 109
897:3x 13x 23
553:7x 79
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 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 11239320787968/(1x448)
LCM = 11239320787968/448
LCM = 25087769616
Thus, we can understand that the LCM of 232,112,872,897,553 is 25087769616.
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FAQs on LCM of 232, 112, 872, 897, 553
1. What is the LCM of 232, 112, 872, 897, 553?
Answer: LCM of 232, 112, 872, 897, 553 is 25087769616.
2. How to calculate the LCM of 232, 112, 872, 897, 553?
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 232, 112, 872, 897, 553.
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}.