LCM of 226, 408, 765, 105, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 408, 765, 105, 838 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 226, 408, 765, 105, 838. So, keep reading to learn more.
Given numbers are 226,408,765,105,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,408,765,105,838 is 2028345480.
Find LCM of 226,408,765,105,838 with Prime Factorization
| 2 | 226, 408, 765, 105, 838 |
| 3 | 113, 204, 765, 105, 419 |
| 5 | 113, 68, 255, 35, 419 |
| 17 | 113, 68, 51, 7, 419 |
| 113, 4, 3, 7, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 113 x 4 x 3 x 7 x 419 = 2028345480
Therefore, the lowest common multiple of 226,408,765,105,838 is 2028345480.
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.
226 x 408 x 765 x 105 x 838 = 6206737168800
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.
226 : 1, 2, 113, 226
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
105 : 1, 3, 5, 7, 15, 21, 35, 105
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,408,765,105,838, is 1.
Now, the common factors can be found like this.
226:2x 113
408:2x 2x 2x 3x 17
765:3x 3x 5x 17
105:3x 5x 7
838:2x 419
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 3x 3x 5x 17 = 3060
Therefore, the value for common factors is 3060.
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 = 6206737168800/(1x3060)
LCM = 6206737168800/3060
LCM = 2028345480
Thus, we can understand that the LCM of 226,408,765,105,838 is 2028345480.
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FAQs on LCM of 226, 408, 765, 105, 838
1. What is the LCM of 226, 408, 765, 105, 838?
Answer: LCM of 226, 408, 765, 105, 838 is 2028345480.
2. How to calculate the LCM of 226, 408, 765, 105, 838?
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 226, 408, 765, 105, 838.
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}.