LCM of 144, 765, 814, 428, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 765, 814, 428, 914 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 144, 765, 814, 428, 914. So, keep reading to learn more.
Given numbers are 144,765,814,428,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,765,814,428,914 is 243599170320.
Find LCM of 144,765,814,428,914 with Prime Factorization
| 2 | 144, 765, 814, 428, 914 |
| 2 | 72, 765, 407, 214, 457 |
| 3 | 36, 765, 407, 107, 457 |
| 3 | 12, 255, 407, 107, 457 |
| 4, 85, 407, 107, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 4 x 85 x 407 x 107 x 457 = 243599170320
Therefore, the lowest common multiple of 144,765,814,428,914 is 243599170320.
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.
144 x 765 x 814 x 428 x 914 = 35078280526080
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
814 : 1, 2, 11, 22, 37, 74, 407, 814
428 : 1, 2, 4, 107, 214, 428
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,765,814,428,914, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
765:3x 3x 5x 17
814:2x 11x 37
428:2x 2x 107
914:2x 457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 35078280526080/(1x144)
LCM = 35078280526080/144
LCM = 243599170320
Thus, we can understand that the LCM of 144,765,814,428,914 is 243599170320.
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FAQs on LCM of 144, 765, 814, 428, 914
1. What is the LCM of 144, 765, 814, 428, 914?
Answer: LCM of 144, 765, 814, 428, 914 is 243599170320.
2. How to calculate the LCM of 144, 765, 814, 428, 914?
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 144, 765, 814, 428, 914.
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}.