LCM of 934, 832, 702, 396, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 832, 702, 396, 226 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 934, 832, 702, 396, 226. So, keep reading to learn more.
Given numbers are 934,832,702,396,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,832,702,396,226 is 13039925184.
Find LCM of 934,832,702,396,226 with Prime Factorization
| 2 | 934, 832, 702, 396, 226 |
| 2 | 467, 416, 351, 198, 113 |
| 3 | 467, 208, 351, 99, 113 |
| 3 | 467, 208, 117, 33, 113 |
| 13 | 467, 208, 39, 11, 113 |
| 467, 16, 3, 11, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 467 x 16 x 3 x 11 x 113 = 13039925184
Therefore, the lowest common multiple of 934,832,702,396,226 is 13039925184.
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.
934 x 832 x 702 x 396 x 226 = 48821479888896
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.
934 : 1, 2, 467, 934
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
226 : 1, 2, 113, 226
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,832,702,396,226, is 2.
Now, the common factors can be found like this.
934:2x 467
832:2x 2x 2x 2x 2x 2x 13
702:2x 3x 3x 3x 13
396:2x 2x 3x 3x 11
226:2x 113
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 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 48821479888896/(2x1872)
LCM = 48821479888896/3744
LCM = 13039925184
Thus, we can understand that the LCM of 934,832,702,396,226 is 13039925184.
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FAQs on LCM of 934, 832, 702, 396, 226
1. What is the LCM of 934, 832, 702, 396, 226?
Answer: LCM of 934, 832, 702, 396, 226 is 13039925184.
2. How to calculate the LCM of 934, 832, 702, 396, 226?
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 934, 832, 702, 396, 226.
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}.