Find the LCM of 988, 830, 469, 923, 931 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 988, 830, 469, 923, 931. So, keep reading to learn more.
Given numbers are 988,830,469,923,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,830,469,923,931 is 95572791860.
Find LCM of 988,830,469,923,931 with Prime Factorization
2 | 988, 830, 469, 923, 931 |
7 | 494, 415, 469, 923, 931 |
13 | 494, 415, 67, 923, 133 |
19 | 38, 415, 67, 71, 133 |
2, 415, 67, 71, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 19 x 2 x 415 x 67 x 71 x 7 = 95572791860
Therefore, the lowest common multiple of 988,830,469,923,931 is 95572791860.
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.
988 x 830 x 469 x 923 x 931 = 330490714251880
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
830 : 1, 2, 5, 10, 83, 166, 415, 830
469 : 1, 7, 67, 469
923 : 1, 13, 71, 923
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,830,469,923,931, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
830:2x 5x 83
469:7x 67
923:13x 71
931:7x 7x 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 7x 13x 19 = 3458
Therefore, the value for common factors is 3458.
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 = 330490714251880/(1x3458)
LCM = 330490714251880/3458
LCM = 95572791860
Thus, we can understand that the LCM of 988,830,469,923,931 is 95572791860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 830, 469, 923, 931?
Answer: LCM of 988, 830, 469, 923, 931 is 95572791860.
2. How to calculate the LCM of 988, 830, 469, 923, 931?
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 988, 830, 469, 923, 931.
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}.