LCM of 789, 154, 263, 392, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 154, 263, 392, 415 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, 154, 263, 392, 415. So, keep reading to learn more.
Given numbers are 789,154,263,392,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,154,263,392,415 is 1411899720.
Find LCM of 789,154,263,392,415 with Prime Factorization
| 2 | 789, 154, 263, 392, 415 |
| 7 | 789, 77, 263, 196, 415 |
| 263 | 789, 11, 263, 28, 415 |
| 3, 11, 1, 28, 415 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 263 x 3 x 11 x 1 x 28 x 415 = 1411899720
Therefore, the lowest common multiple of 789,154,263,392,415 is 1411899720.
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 154 x 263 x 392 x 415 = 5198614769040
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
154 : 1, 2, 7, 11, 14, 22, 77, 154
263 : 1, 263
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,154,263,392,415, is 1.
Now, the common factors can be found like this.
789:3x 263
154:2x 7x 11
263:263
392:2x 2x 2x 7x 7
415:5x 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 7x 263 = 3682
Therefore, the value for common factors is 3682.
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 = 5198614769040/(1x3682)
LCM = 5198614769040/3682
LCM = 1411899720
Thus, we can understand that the LCM of 789,154,263,392,415 is 1411899720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 154, 263, 392, 415
1. What is the LCM of 789, 154, 263, 392, 415?
Answer: LCM of 789, 154, 263, 392, 415 is 1411899720.
2. How to calculate the LCM of 789, 154, 263, 392, 415?
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, 154, 263, 392, 415.
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}.