LCM of 923, 105, 399, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 105, 399, 728 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 923, 105, 399, 728. So, keep reading to learn more.
Given numbers are 923,105,399,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,105,399,728 is 14731080.
Find LCM of 923,105,399,728 with Prime Factorization
| 3 | 923, 105, 399, 728 |
| 7 | 923, 35, 133, 728 |
| 13 | 923, 5, 19, 104 |
| 71, 5, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 71 x 5 x 19 x 8 = 14731080
Therefore, the lowest common multiple of 923,105,399,728 is 14731080.
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.
923 x 105 x 399 x 728 = 28151093880
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.
923 : 1, 13, 71, 923
105 : 1, 3, 5, 7, 15, 21, 35, 105
399 : 1, 3, 7, 19, 21, 57, 133, 399
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,105,399,728, is 1.
Now, the common factors can be found like this.
923:13x 71
105:3x 5x 7
399:3x 7x 19
728:2x 2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 13 = 1911
Therefore, the value for common factors is 1911.
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 = 28151093880/(1x1911)
LCM = 28151093880/1911
LCM = 14731080
Thus, we can understand that the LCM of 923,105,399,728 is 14731080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 105, 399, 728
1. What is the LCM of 923, 105, 399, 728?
Answer: LCM of 923, 105, 399, 728 is 14731080.
2. How to calculate the LCM of 923, 105, 399, 728?
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 923, 105, 399, 728.
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}.