LCM of 839, 945, 825, 109, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 945, 825, 109, 432 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 839, 945, 825, 109, 432. So, keep reading to learn more.
Given numbers are 839,945,825,109,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,945,825,109,432 is 76050651600.
Find LCM of 839,945,825,109,432 with Prime Factorization
| 3 | 839, 945, 825, 109, 432 |
| 3 | 839, 315, 275, 109, 144 |
| 3 | 839, 105, 275, 109, 48 |
| 5 | 839, 35, 275, 109, 16 |
| 839, 7, 55, 109, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 839 x 7 x 55 x 109 x 16 = 76050651600
Therefore, the lowest common multiple of 839,945,825,109,432 is 76050651600.
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.
839 x 945 x 825 x 109 x 432 = 30800513898000
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.
839 : 1, 839
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
109 : 1, 109
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,945,825,109,432, is 1.
Now, the common factors can be found like this.
839:839
945:3x 3x 3x 5x 7
825:3x 5x 5x 11
109:109
432:2x 2x 2x 2x 3x 3x 3
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 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 30800513898000/(1x405)
LCM = 30800513898000/405
LCM = 76050651600
Thus, we can understand that the LCM of 839,945,825,109,432 is 76050651600.
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FAQs on LCM of 839, 945, 825, 109, 432
1. What is the LCM of 839, 945, 825, 109, 432?
Answer: LCM of 839, 945, 825, 109, 432 is 76050651600.
2. How to calculate the LCM of 839, 945, 825, 109, 432?
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 839, 945, 825, 109, 432.
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}.