LCM of 829, 768, 308, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 768, 308, 321 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 829, 768, 308, 321. So, keep reading to learn more.
Given numbers are 829,768,308,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,768,308,321 is 5245540608.
Find LCM of 829,768,308,321 with Prime Factorization
| 2 | 829, 768, 308, 321 |
| 2 | 829, 384, 154, 321 |
| 3 | 829, 192, 77, 321 |
| 829, 64, 77, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 829 x 64 x 77 x 107 = 5245540608
Therefore, the lowest common multiple of 829,768,308,321 is 5245540608.
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.
829 x 768 x 308 x 321 = 62946487296
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.
829 : 1, 829
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,768,308,321, is 1.
Now, the common factors can be found like this.
829:829
768:2x 2x 2x 2x 2x 2x 2x 2x 3
308:2x 2x 7x 11
321:3x 107
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 3 = 12
Therefore, the value for common factors is 12.
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 = 62946487296/(1x12)
LCM = 62946487296/12
LCM = 5245540608
Thus, we can understand that the LCM of 829,768,308,321 is 5245540608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 829, 768, 308, 321
1. What is the LCM of 829, 768, 308, 321?
Answer: LCM of 829, 768, 308, 321 is 5245540608.
2. How to calculate the LCM of 829, 768, 308, 321?
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 829, 768, 308, 321.
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}.