LCM of 504, 896, 596, 914, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 896, 596, 914, 916 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 504, 896, 596, 914, 916. So, keep reading to learn more.
Given numbers are 504,896,596,914,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,896,596,914,916 is 125744347008.
Find LCM of 504,896,596,914,916 with Prime Factorization
| 2 | 504, 896, 596, 914, 916 |
| 2 | 252, 448, 298, 457, 458 |
| 2 | 126, 224, 149, 457, 229 |
| 7 | 63, 112, 149, 457, 229 |
| 9, 16, 149, 457, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 9 x 16 x 149 x 457 x 229 = 125744347008
Therefore, the lowest common multiple of 504,896,596,914,916 is 125744347008.
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.
504 x 896 x 596 x 914 x 916 = 225333869838336
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.
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
596 : 1, 2, 4, 149, 298, 596
914 : 1, 2, 457, 914
916 : 1, 2, 4, 229, 458, 916
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,896,596,914,916, is 2.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
896:2x 2x 2x 2x 2x 2x 2x 7
596:2x 2x 149
914:2x 457
916:2x 2x 229
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 2x 2x 7 = 896
Therefore, the value for common factors is 896.
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 = 225333869838336/(2x896)
LCM = 225333869838336/1792
LCM = 125744347008
Thus, we can understand that the LCM of 504,896,596,914,916 is 125744347008.
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FAQs on LCM of 504, 896, 596, 914, 916
1. What is the LCM of 504, 896, 596, 914, 916?
Answer: LCM of 504, 896, 596, 914, 916 is 125744347008.
2. How to calculate the LCM of 504, 896, 596, 914, 916?
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 504, 896, 596, 914, 916.
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}.