LCM of 789, 431, 342, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 431, 342, 463 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, 431, 342, 463. So, keep reading to learn more.
Given numbers are 789,431,342,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,431,342,463 is 17948994138.
Find LCM of 789,431,342,463 with Prime Factorization
| 3 | 789, 431, 342, 463 |
| 263, 431, 114, 463 |
Multiply the prime numbers at the bottom and the left side.
3 x 263 x 431 x 114 x 463 = 17948994138
Therefore, the lowest common multiple of 789,431,342,463 is 17948994138.
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 431 x 342 x 463 = 53846982414
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
431 : 1, 431
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,431,342,463, is 1.
Now, the common factors can be found like this.
789:3x 263
431:431
342:2x 3x 3x 19
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 53846982414/(1x3)
LCM = 53846982414/3
LCM = 17948994138
Thus, we can understand that the LCM of 789,431,342,463 is 17948994138.
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FAQs on LCM of 789, 431, 342, 463
1. What is the LCM of 789, 431, 342, 463?
Answer: LCM of 789, 431, 342, 463 is 17948994138.
2. How to calculate the LCM of 789, 431, 342, 463?
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, 431, 342, 463.
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}.