LCM of 399, 326, 427, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 326, 427, 819 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 399, 326, 427, 819. So, keep reading to learn more.
Given numbers are 399,326,427,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,326,427,819 is 309446046.
Find LCM of 399,326,427,819 with Prime Factorization
| 3 | 399, 326, 427, 819 |
| 7 | 133, 326, 427, 273 |
| 19, 326, 61, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 326 x 61 x 39 = 309446046
Therefore, the lowest common multiple of 399,326,427,819 is 309446046.
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.
399 x 326 x 427 x 819 = 45488568762
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
326 : 1, 2, 163, 326
427 : 1, 7, 61, 427
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,326,427,819, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
326:2x 163
427:7x 61
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 45488568762/(1x147)
LCM = 45488568762/147
LCM = 309446046
Thus, we can understand that the LCM of 399,326,427,819 is 309446046.
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FAQs on LCM of 399, 326, 427, 819
1. What is the LCM of 399, 326, 427, 819?
Answer: LCM of 399, 326, 427, 819 is 309446046.
2. How to calculate the LCM of 399, 326, 427, 819?
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 399, 326, 427, 819.
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}.