Find the LCM of 899, 806, 802, 923, 114 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 899, 806, 802, 923, 114. So, keep reading to learn more.
Given numbers are 899,806,802,923,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,806,802,923,114 is 37932425778.
Find LCM of 899,806,802,923,114 with Prime Factorization
2 | 899, 806, 802, 923, 114 |
13 | 899, 403, 401, 923, 57 |
31 | 899, 31, 401, 71, 57 |
29, 1, 401, 71, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 31 x 29 x 1 x 401 x 71 x 57 = 37932425778
Therefore, the lowest common multiple of 899,806,802,923,114 is 37932425778.
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.
899 x 806 x 802 x 923 x 114 = 61147070354136
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.
899 : 1, 29, 31, 899
806 : 1, 2, 13, 26, 31, 62, 403, 806
802 : 1, 2, 401, 802
923 : 1, 13, 71, 923
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,806,802,923,114, is 1.
Now, the common factors can be found like this.
899:29x 31
806:2x 13x 31
802:2x 401
923:13x 71
114:2x 3x 19
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 13x 31 = 1612
Therefore, the value for common factors is 1612.
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 = 61147070354136/(1x1612)
LCM = 61147070354136/1612
LCM = 37932425778
Thus, we can understand that the LCM of 899,806,802,923,114 is 37932425778.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 899, 806, 802, 923, 114?
Answer: LCM of 899, 806, 802, 923, 114 is 37932425778.
2. How to calculate the LCM of 899, 806, 802, 923, 114?
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 899, 806, 802, 923, 114.
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}.