LCM of 789, 629, 699, 752, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 629, 699, 752, 996 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, 629, 699, 752, 996. So, keep reading to learn more.
Given numbers are 789,629,699,752,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,629,699,752,996 is 7217378850768.
Find LCM of 789,629,699,752,996 with Prime Factorization
| 2 | 789, 629, 699, 752, 996 |
| 2 | 789, 629, 699, 376, 498 |
| 3 | 789, 629, 699, 188, 249 |
| 263, 629, 233, 188, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 263 x 629 x 233 x 188 x 83 = 7217378850768
Therefore, the lowest common multiple of 789,629,699,752,996 is 7217378850768.
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 629 x 699 x 752 x 996 = 259825638627648
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
629 : 1, 17, 37, 629
699 : 1, 3, 233, 699
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,629,699,752,996, is 1.
Now, the common factors can be found like this.
789:3x 263
629:17x 37
699:3x 233
752:2x 2x 2x 2x 47
996:2x 2x 3x 83
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 259825638627648/(1x36)
LCM = 259825638627648/36
LCM = 7217378850768
Thus, we can understand that the LCM of 789,629,699,752,996 is 7217378850768.
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FAQs on LCM of 789, 629, 699, 752, 996
1. What is the LCM of 789, 629, 699, 752, 996?
Answer: LCM of 789, 629, 699, 752, 996 is 7217378850768.
2. How to calculate the LCM of 789, 629, 699, 752, 996?
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, 629, 699, 752, 996.
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}.