LCM of 789, 913, 924, 598, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 913, 924, 598, 993 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 789, 913, 924, 598, 993. So, keep reading to learn more.
Given numbers are 789,913,924,598,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,913,924,598,993 is 1996204334124.
Find LCM of 789,913,924,598,993 with Prime Factorization
| 2 | 789, 913, 924, 598, 993 |
| 3 | 789, 913, 462, 299, 993 |
| 11 | 263, 913, 154, 299, 331 |
| 263, 83, 14, 299, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 263 x 83 x 14 x 299 x 331 = 1996204334124
Therefore, the lowest common multiple of 789,913,924,598,993 is 1996204334124.
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.
789 x 913 x 924 x 598 x 993 = 395248458156552
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.
789 : 1, 3, 263, 789
913 : 1, 11, 83, 913
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,913,924,598,993, is 1.
Now, the common factors can be found like this.
789:3x 263
913:11x 83
924:2x 2x 3x 7x 11
598:2x 13x 23
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 395248458156552/(1x198)
LCM = 395248458156552/198
LCM = 1996204334124
Thus, we can understand that the LCM of 789,913,924,598,993 is 1996204334124.
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FAQs on LCM of 789, 913, 924, 598, 993
1. What is the LCM of 789, 913, 924, 598, 993?
Answer: LCM of 789, 913, 924, 598, 993 is 1996204334124.
2. How to calculate the LCM of 789, 913, 924, 598, 993?
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 789, 913, 924, 598, 993.
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}.