Find the LCM of 488, 791, 791, 938 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 488, 791, 791, 938. So, keep reading to learn more.
Given numbers are 488,791,791,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 488,791,791,938 is 25862536.
Find LCM of 488,791,791,938 with Prime Factorization
2 | 488, 791, 791, 938 |
7 | 244, 791, 791, 469 |
113 | 244, 113, 113, 67 |
244, 1, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 113 x 244 x 1 x 1 x 67 = 25862536
Therefore, the lowest common multiple of 488,791,791,938 is 25862536.
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.
488 x 791 x 791 x 938 = 286401723664
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.
488 : 1, 2, 4, 8, 61, 122, 244, 488
791 : 1, 7, 113, 791
791 : 1, 7, 113, 791
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,791,791,938, is 1.
Now, the common factors can be found like this.
488:2x 2x 2x 61
791:7x 113
791:7x 113
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 113 = 11074
Therefore, the value for common factors is 11074.
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 = 286401723664/(1x11074)
LCM = 286401723664/11074
LCM = 25862536
Thus, we can understand that the LCM of 488,791,791,938 is 25862536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 791, 791, 938?
Answer: LCM of 488, 791, 791, 938 is 25862536.
2. How to calculate the LCM of 488, 791, 791, 938?
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 488, 791, 791, 938.
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}.