LCM of 904, 909, 336, 468, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 909, 336, 468, 797 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 904, 909, 336, 468, 797. So, keep reading to learn more.
Given numbers are 904,909,336,468,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,909,336,468,797 is 119196093744.
Find LCM of 904,909,336,468,797 with Prime Factorization
| 2 | 904, 909, 336, 468, 797 |
| 2 | 452, 909, 168, 234, 797 |
| 2 | 226, 909, 84, 117, 797 |
| 3 | 113, 909, 42, 117, 797 |
| 3 | 113, 303, 14, 39, 797 |
| 113, 101, 14, 13, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 113 x 101 x 14 x 13 x 797 = 119196093744
Therefore, the lowest common multiple of 904,909,336,468,797 is 119196093744.
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.
904 x 909 x 336 x 468 x 797 = 102985424994816
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
909 : 1, 3, 9, 101, 303, 909
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,909,336,468,797, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
909:3x 3x 101
336:2x 2x 2x 2x 3x 7
468:2x 2x 3x 3x 13
797:797
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 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 102985424994816/(1x864)
LCM = 102985424994816/864
LCM = 119196093744
Thus, we can understand that the LCM of 904,909,336,468,797 is 119196093744.
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FAQs on LCM of 904, 909, 336, 468, 797
1. What is the LCM of 904, 909, 336, 468, 797?
Answer: LCM of 904, 909, 336, 468, 797 is 119196093744.
2. How to calculate the LCM of 904, 909, 336, 468, 797?
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 904, 909, 336, 468, 797.
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}.