LCM of 329, 308, 998, 616, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 308, 998, 616, 830 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 329, 308, 998, 616, 830. So, keep reading to learn more.
Given numbers are 329,308,998,616,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,308,998,616,830 is 5995524920.
Find LCM of 329,308,998,616,830 with Prime Factorization
| 2 | 329, 308, 998, 616, 830 |
| 2 | 329, 154, 499, 308, 415 |
| 7 | 329, 77, 499, 154, 415 |
| 11 | 47, 11, 499, 22, 415 |
| 47, 1, 499, 2, 415 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 47 x 1 x 499 x 2 x 415 = 5995524920
Therefore, the lowest common multiple of 329,308,998,616,830 is 5995524920.
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.
329 x 308 x 998 x 616 x 830 = 51705406910080
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.
329 : 1, 7, 47, 329
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
998 : 1, 2, 499, 998
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,308,998,616,830, is 1.
Now, the common factors can be found like this.
329:7x 47
308:2x 2x 7x 11
998:2x 499
616:2x 2x 2x 7x 11
830:2x 5x 83
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 7x 7x 11 = 8624
Therefore, the value for common factors is 8624.
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 = 51705406910080/(1x8624)
LCM = 51705406910080/8624
LCM = 5995524920
Thus, we can understand that the LCM of 329,308,998,616,830 is 5995524920.
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FAQs on LCM of 329, 308, 998, 616, 830
1. What is the LCM of 329, 308, 998, 616, 830?
Answer: LCM of 329, 308, 998, 616, 830 is 5995524920.
2. How to calculate the LCM of 329, 308, 998, 616, 830?
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 329, 308, 998, 616, 830.
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}.