LCM of 412, 693, 649, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 693, 649, 826 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 412, 693, 649, 826. So, keep reading to learn more.
Given numbers are 412,693,649,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,693,649,826 is 16845444.
Find LCM of 412,693,649,826 with Prime Factorization
| 2 | 412, 693, 649, 826 |
| 7 | 206, 693, 649, 413 |
| 11 | 206, 99, 649, 59 |
| 59 | 206, 9, 59, 59 |
| 206, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 59 x 206 x 9 x 1 x 1 = 16845444
Therefore, the lowest common multiple of 412,693,649,826 is 16845444.
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.
412 x 693 x 649 x 826 = 153057704184
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.
412 : 1, 2, 4, 103, 206, 412
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
649 : 1, 11, 59, 649
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,693,649,826, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
693:3x 3x 7x 11
649:11x 59
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11x 59 = 9086
Therefore, the value for common factors is 9086.
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 = 153057704184/(1x9086)
LCM = 153057704184/9086
LCM = 16845444
Thus, we can understand that the LCM of 412,693,649,826 is 16845444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 693, 649, 826
1. What is the LCM of 412, 693, 649, 826?
Answer: LCM of 412, 693, 649, 826 is 16845444.
2. How to calculate the LCM of 412, 693, 649, 826?
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 412, 693, 649, 826.
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}.