LCM of 226, 123, 713, 902, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 123, 713, 902, 345 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, 123, 713, 902, 345. So, keep reading to learn more.
Given numbers are 226,123,713,902,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,123,713,902,345 is 1090098570.
Find LCM of 226,123,713,902,345 with Prime Factorization
| 2 | 226, 123, 713, 902, 345 |
| 3 | 113, 123, 713, 451, 345 |
| 23 | 113, 41, 713, 451, 115 |
| 41 | 113, 41, 31, 451, 5 |
| 113, 1, 31, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 41 x 113 x 1 x 31 x 11 x 5 = 1090098570
Therefore, the lowest common multiple of 226,123,713,902,345 is 1090098570.
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 123 x 713 x 902 x 345 = 6167777709060
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
123 : 1, 3, 41, 123
713 : 1, 23, 31, 713
902 : 1, 2, 11, 22, 41, 82, 451, 902
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,123,713,902,345, is 1.
Now, the common factors can be found like this.
226:2x 113
123:3x 41
713:23x 31
902:2x 11x 41
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23x 41 = 5658
Therefore, the value for common factors is 5658.
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 = 6167777709060/(1x5658)
LCM = 6167777709060/5658
LCM = 1090098570
Thus, we can understand that the LCM of 226,123,713,902,345 is 1090098570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 226, 123, 713, 902, 345
1. What is the LCM of 226, 123, 713, 902, 345?
Answer: LCM of 226, 123, 713, 902, 345 is 1090098570.
2. How to calculate the LCM of 226, 123, 713, 902, 345?
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, 123, 713, 902, 345.
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}.