LCM of 235, 465, 881, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 235, 465, 881, 923 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 235, 465, 881, 923. So, keep reading to learn more.
Given numbers are 235,465,881,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,465,881,923 is 17771677365.
Find LCM of 235,465,881,923 with Prime Factorization
| 5 | 235, 465, 881, 923 |
| 47, 93, 881, 923 |
Multiply the prime numbers at the bottom and the left side.
5 x 47 x 93 x 881 x 923 = 17771677365
Therefore, the lowest common multiple of 235,465,881,923 is 17771677365.
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.
235 x 465 x 881 x 923 = 88858386825
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.
235 : 1, 5, 47, 235
465 : 1, 3, 5, 15, 31, 93, 155, 465
881 : 1, 881
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,465,881,923, is 1.
Now, the common factors can be found like this.
235:5x 47
465:3x 5x 31
881:881
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 88858386825/(1x5)
LCM = 88858386825/5
LCM = 17771677365
Thus, we can understand that the LCM of 235,465,881,923 is 17771677365.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 235, 465, 881, 923
1. What is the LCM of 235, 465, 881, 923?
Answer: LCM of 235, 465, 881, 923 is 17771677365.
2. How to calculate the LCM of 235, 465, 881, 923?
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 235, 465, 881, 923.
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}.