LCM of 226, 344, 339, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 344, 339, 712 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, 344, 339, 712. So, keep reading to learn more.
Given numbers are 226,344,339,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,344,339,712 is 10378824.
Find LCM of 226,344,339,712 with Prime Factorization
| 2 | 226, 344, 339, 712 |
| 2 | 113, 172, 339, 356 |
| 2 | 113, 86, 339, 178 |
| 113 | 113, 43, 339, 89 |
| 1, 43, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 1 x 43 x 3 x 89 = 10378824
Therefore, the lowest common multiple of 226,344,339,712 is 10378824.
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 344 x 339 x 712 = 18764913792
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
344 : 1, 2, 4, 8, 43, 86, 172, 344
339 : 1, 3, 113, 339
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,344,339,712, is 1.
Now, the common factors can be found like this.
226:2x 113
344:2x 2x 2x 43
339:3x 113
712:2x 2x 2x 89
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 113 = 1808
Therefore, the value for common factors is 1808.
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 = 18764913792/(1x1808)
LCM = 18764913792/1808
LCM = 10378824
Thus, we can understand that the LCM of 226,344,339,712 is 10378824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 226, 344, 339, 712
1. What is the LCM of 226, 344, 339, 712?
Answer: LCM of 226, 344, 339, 712 is 10378824.
2. How to calculate the LCM of 226, 344, 339, 712?
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, 344, 339, 712.
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}.