LCM of 789, 378, 360, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 378, 360, 549 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, 378, 360, 549. So, keep reading to learn more.
Given numbers are 789,378,360,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,378,360,549 is 121285080.
Find LCM of 789,378,360,549 with Prime Factorization
| 2 | 789, 378, 360, 549 |
| 3 | 789, 189, 180, 549 |
| 3 | 263, 63, 60, 183 |
| 263, 21, 20, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 263 x 21 x 20 x 61 = 121285080
Therefore, the lowest common multiple of 789,378,360,549 is 121285080.
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 378 x 360 x 549 = 58944548880
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
549 : 1, 3, 9, 61, 183, 549
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,378,360,549, is 3.
Now, the common factors can be found like this.
789:3x 263
378:2x 3x 3x 3x 7
360:2x 2x 2x 3x 3x 5
549:3x 3x 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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 58944548880/(3x162)
LCM = 58944548880/486
LCM = 121285080
Thus, we can understand that the LCM of 789,378,360,549 is 121285080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 378, 360, 549
1. What is the LCM of 789, 378, 360, 549?
Answer: LCM of 789, 378, 360, 549 is 121285080.
2. How to calculate the LCM of 789, 378, 360, 549?
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, 378, 360, 549.
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}.