LCM of 621, 376, 529, 836, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 376, 529, 836, 329 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 621, 376, 529, 836, 329. So, keep reading to learn more.
Given numbers are 621,376,529,836,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,376,529,836,329 is 7856906904.
Find LCM of 621,376,529,836,329 with Prime Factorization
| 2 | 621, 376, 529, 836, 329 |
| 2 | 621, 188, 529, 418, 329 |
| 23 | 621, 94, 529, 209, 329 |
| 47 | 27, 94, 23, 209, 329 |
| 27, 2, 23, 209, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 47 x 27 x 2 x 23 x 209 x 7 = 7856906904
Therefore, the lowest common multiple of 621,376,529,836,329 is 7856906904.
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.
621 x 376 x 529 x 836 x 329 = 33973265452896
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
376 : 1, 2, 4, 8, 47, 94, 188, 376
529 : 1, 23, 529
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,376,529,836,329, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
376:2x 2x 2x 47
529:23x 23
836:2x 2x 11x 19
329:7x 47
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 23x 47 = 4324
Therefore, the value for common factors is 4324.
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 = 33973265452896/(1x4324)
LCM = 33973265452896/4324
LCM = 7856906904
Thus, we can understand that the LCM of 621,376,529,836,329 is 7856906904.
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FAQs on LCM of 621, 376, 529, 836, 329
1. What is the LCM of 621, 376, 529, 836, 329?
Answer: LCM of 621, 376, 529, 836, 329 is 7856906904.
2. How to calculate the LCM of 621, 376, 529, 836, 329?
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 621, 376, 529, 836, 329.
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}.