LCM of 789, 403, 216, 793, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 403, 216, 793, 363 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, 403, 216, 793, 363. So, keep reading to learn more.
Given numbers are 789,403,216,793,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,403,216,793,363 is 168977838744.
Find LCM of 789,403,216,793,363 with Prime Factorization
| 3 | 789, 403, 216, 793, 363 |
| 13 | 263, 403, 72, 793, 121 |
| 263, 31, 72, 61, 121 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 263 x 31 x 72 x 61 x 121 = 168977838744
Therefore, the lowest common multiple of 789,403,216,793,363 is 168977838744.
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 403 x 216 x 793 x 363 = 19770407133048
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
403 : 1, 13, 31, 403
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
793 : 1, 13, 61, 793
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,403,216,793,363, is 1.
Now, the common factors can be found like this.
789:3x 263
403:13x 31
216:2x 2x 2x 3x 3x 3
793:13x 61
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 19770407133048/(1x117)
LCM = 19770407133048/117
LCM = 168977838744
Thus, we can understand that the LCM of 789,403,216,793,363 is 168977838744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 403, 216, 793, 363
1. What is the LCM of 789, 403, 216, 793, 363?
Answer: LCM of 789, 403, 216, 793, 363 is 168977838744.
2. How to calculate the LCM of 789, 403, 216, 793, 363?
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, 403, 216, 793, 363.
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}.