Find the LCM of 113, 377, 601, 923, 928 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 113, 377, 601, 923, 928. So, keep reading to learn more.
Given numbers are 113,377,601,923,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,377,601,923,928 is 58170472672.
Find LCM of 113,377,601,923,928 with Prime Factorization
13 | 113, 377, 601, 923, 928 |
29 | 113, 29, 601, 71, 928 |
113, 1, 601, 71, 32 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 113 x 1 x 601 x 71 x 32 = 58170472672
Therefore, the lowest common multiple of 113,377,601,923,928 is 58170472672.
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.
113 x 377 x 601 x 923 x 928 = 21930268197344
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.
113 : 1, 113
377 : 1, 13, 29, 377
601 : 1, 601
923 : 1, 13, 71, 923
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,377,601,923,928, is 1.
Now, the common factors can be found like this.
113:113
377:13x 29
601:601
923:13x 71
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 29 = 377
Therefore, the value for common factors is 377.
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 = 21930268197344/(1x377)
LCM = 21930268197344/377
LCM = 58170472672
Thus, we can understand that the LCM of 113,377,601,923,928 is 58170472672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 377, 601, 923, 928?
Answer: LCM of 113, 377, 601, 923, 928 is 58170472672.
2. How to calculate the LCM of 113, 377, 601, 923, 928?
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 113, 377, 601, 923, 928.
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}.