Find the LCM of 998, 923, 262, 984, 963 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 998, 923, 262, 984, 963. So, keep reading to learn more.
Given numbers are 998,923,262,984,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,923,262,984,963 is 19057839852168.
Find LCM of 998,923,262,984,963 with Prime Factorization
2 | 998, 923, 262, 984, 963 |
3 | 499, 923, 131, 492, 963 |
499, 923, 131, 164, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 499 x 923 x 131 x 164 x 321 = 19057839852168
Therefore, the lowest common multiple of 998,923,262,984,963 is 19057839852168.
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.
998 x 923 x 262 x 984 x 963 = 228694078226016
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.
998 : 1, 2, 499, 998
923 : 1, 13, 71, 923
262 : 1, 2, 131, 262
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,923,262,984,963, is 1.
Now, the common factors can be found like this.
998:2x 499
923:13x 71
262:2x 131
984:2x 2x 2x 3x 41
963:3x 3x 107
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 3 = 12
Therefore, the value for common factors is 12.
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 = 228694078226016/(1x12)
LCM = 228694078226016/12
LCM = 19057839852168
Thus, we can understand that the LCM of 998,923,262,984,963 is 19057839852168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 923, 262, 984, 963?
Answer: LCM of 998, 923, 262, 984, 963 is 19057839852168.
2. How to calculate the LCM of 998, 923, 262, 984, 963?
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 998, 923, 262, 984, 963.
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}.