LCM of 988, 924, 428, 969, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 924, 428, 969, 793 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, 924, 428, 969, 793. So, keep reading to learn more.
Given numbers are 988,924,428,969,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,924,428,969,793 is 25323950652.
Find LCM of 988,924,428,969,793 with Prime Factorization
| 2 | 988, 924, 428, 969, 793 |
| 2 | 494, 462, 214, 969, 793 |
| 3 | 247, 231, 107, 969, 793 |
| 13 | 247, 77, 107, 323, 793 |
| 19 | 19, 77, 107, 323, 61 |
| 1, 77, 107, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 1 x 77 x 107 x 17 x 61 = 25323950652
Therefore, the lowest common multiple of 988,924,428,969,793 is 25323950652.
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 924 x 428 x 969 x 793 = 300240758930112
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
428 : 1, 2, 4, 107, 214, 428
969 : 1, 3, 17, 19, 51, 57, 323, 969
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,924,428,969,793, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
924:2x 2x 3x 7x 11
428:2x 2x 107
969:3x 17x 19
793:13x 61
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 13x 19 = 11856
Therefore, the value for common factors is 11856.
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 = 300240758930112/(1x11856)
LCM = 300240758930112/11856
LCM = 25323950652
Thus, we can understand that the LCM of 988,924,428,969,793 is 25323950652.
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FAQs on LCM of 988, 924, 428, 969, 793
1. What is the LCM of 988, 924, 428, 969, 793?
Answer: LCM of 988, 924, 428, 969, 793 is 25323950652.
2. How to calculate the LCM of 988, 924, 428, 969, 793?
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, 924, 428, 969, 793.
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}.