LCM of 798, 984, 123, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 984, 123, 232 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 798, 984, 123, 232. So, keep reading to learn more.
Given numbers are 798,984,123,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,984,123,232 is 3795288.
Find LCM of 798,984,123,232 with Prime Factorization
| 2 | 798, 984, 123, 232 |
| 2 | 399, 492, 123, 116 |
| 2 | 399, 246, 123, 58 |
| 3 | 399, 123, 123, 29 |
| 41 | 133, 41, 41, 29 |
| 133, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 133 x 1 x 1 x 29 = 3795288
Therefore, the lowest common multiple of 798,984,123,232 is 3795288.
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.
798 x 984 x 123 x 232 = 22407380352
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
123 : 1, 3, 41, 123
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,984,123,232, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
984:2x 2x 2x 3x 41
123:3x 41
232:2x 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.
2x 2x 2x 2x 3x 3x 41 = 5904
Therefore, the value for common factors is 5904.
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 = 22407380352/(1x5904)
LCM = 22407380352/5904
LCM = 3795288
Thus, we can understand that the LCM of 798,984,123,232 is 3795288.
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FAQs on LCM of 798, 984, 123, 232
1. What is the LCM of 798, 984, 123, 232?
Answer: LCM of 798, 984, 123, 232 is 3795288.
2. How to calculate the LCM of 798, 984, 123, 232?
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 798, 984, 123, 232.
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}.