Find the LCM of 920, 727, 897, 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 920, 727, 897, 923. So, keep reading to learn more.
Given numbers are 920,727,897,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,727,897,923 is 1852017960.
Find LCM of 920,727,897,923 with Prime Factorization
13 | 920, 727, 897, 923 |
23 | 920, 727, 69, 71 |
40, 727, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 40 x 727 x 3 x 71 = 1852017960
Therefore, the lowest common multiple of 920,727,897,923 is 1852017960.
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.
920 x 727 x 897 x 923 = 553753370040
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
727 : 1, 727
897 : 1, 3, 13, 23, 39, 69, 299, 897
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,727,897,923, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
727:727
897:3x 13x 23
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.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 553753370040/(1x299)
LCM = 553753370040/299
LCM = 1852017960
Thus, we can understand that the LCM of 920,727,897,923 is 1852017960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 727, 897, 923?
Answer: LCM of 920, 727, 897, 923 is 1852017960.
2. How to calculate the LCM of 920, 727, 897, 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 920, 727, 897, 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}.