LCM of 794, 308, 429, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 308, 429, 828 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 794, 308, 429, 828. So, keep reading to learn more.
Given numbers are 794,308,429,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,308,429,828 is 329044716.
Find LCM of 794,308,429,828 with Prime Factorization
| 2 | 794, 308, 429, 828 |
| 2 | 397, 154, 429, 414 |
| 3 | 397, 77, 429, 207 |
| 11 | 397, 77, 143, 69 |
| 397, 7, 13, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 397 x 7 x 13 x 69 = 329044716
Therefore, the lowest common multiple of 794,308,429,828 is 329044716.
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.
794 x 308 x 429 x 828 = 86867805024
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.
794 : 1, 2, 397, 794
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
429 : 1, 3, 11, 13, 33, 39, 143, 429
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,308,429,828, is 1.
Now, the common factors can be found like this.
794:2x 397
308:2x 2x 7x 11
429:3x 11x 13
828:2x 2x 3x 3x 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 2x 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 86867805024/(1x264)
LCM = 86867805024/264
LCM = 329044716
Thus, we can understand that the LCM of 794,308,429,828 is 329044716.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 794, 308, 429, 828
1. What is the LCM of 794, 308, 429, 828?
Answer: LCM of 794, 308, 429, 828 is 329044716.
2. How to calculate the LCM of 794, 308, 429, 828?
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 794, 308, 429, 828.
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}.