LCM of 308, 876, 504, 326, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 876, 504, 326, 539 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 308, 876, 504, 326, 539. So, keep reading to learn more.
Given numbers are 308,876,504,326,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,876,504,326,539 is 461776392.
Find LCM of 308,876,504,326,539 with Prime Factorization
| 2 | 308, 876, 504, 326, 539 |
| 2 | 154, 438, 252, 163, 539 |
| 3 | 77, 219, 126, 163, 539 |
| 7 | 77, 73, 42, 163, 539 |
| 11 | 11, 73, 6, 163, 77 |
| 1, 73, 6, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 73 x 6 x 163 x 7 = 461776392
Therefore, the lowest common multiple of 308,876,504,326,539 is 461776392.
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.
308 x 876 x 504 x 326 x 539 = 23894157627648
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
326 : 1, 2, 163, 326
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,876,504,326,539, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
876:2x 2x 3x 73
504:2x 2x 2x 3x 3x 7
326:2x 163
539:7x 7x 11
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 2x 3x 7x 7x 11 = 51744
Therefore, the value for common factors is 51744.
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 = 23894157627648/(1x51744)
LCM = 23894157627648/51744
LCM = 461776392
Thus, we can understand that the LCM of 308,876,504,326,539 is 461776392.
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FAQs on LCM of 308, 876, 504, 326, 539
1. What is the LCM of 308, 876, 504, 326, 539?
Answer: LCM of 308, 876, 504, 326, 539 is 461776392.
2. How to calculate the LCM of 308, 876, 504, 326, 539?
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 308, 876, 504, 326, 539.
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}.