LCM of 815, 172, 962, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 172, 962, 459 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 815, 172, 962, 459. So, keep reading to learn more.
Given numbers are 815,172,962,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,172,962,459 is 30948800220.
Find LCM of 815,172,962,459 with Prime Factorization
| 2 | 815, 172, 962, 459 |
| 815, 86, 481, 459 |
Multiply the prime numbers at the bottom and the left side.
2 x 815 x 86 x 481 x 459 = 30948800220
Therefore, the lowest common multiple of 815,172,962,459 is 30948800220.
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.
815 x 172 x 962 x 459 = 61897600440
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.
815 : 1, 5, 163, 815
172 : 1, 2, 4, 43, 86, 172
962 : 1, 2, 13, 26, 37, 74, 481, 962
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,172,962,459, is 1.
Now, the common factors can be found like this.
815:5x 163
172:2x 2x 43
962:2x 13x 37
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 61897600440/(1x2)
LCM = 61897600440/2
LCM = 30948800220
Thus, we can understand that the LCM of 815,172,962,459 is 30948800220.
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FAQs on LCM of 815, 172, 962, 459
1. What is the LCM of 815, 172, 962, 459?
Answer: LCM of 815, 172, 962, 459 is 30948800220.
2. How to calculate the LCM of 815, 172, 962, 459?
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 815, 172, 962, 459.
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}.