Find the LCM of 379, 529, 328, 287 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 379, 529, 328, 287. So, keep reading to learn more.
Given numbers are 379,529,328,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,529,328,287 is 460327336.
Find LCM of 379,529,328,287 with Prime Factorization
41 | 379, 529, 328, 287 |
379, 529, 8, 7 |
Multiply the prime numbers at the bottom and the left side.
41 x 379 x 529 x 8 x 7 = 460327336
Therefore, the lowest common multiple of 379,529,328,287 is 460327336.
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.
379 x 529 x 328 x 287 = 18873420776
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.
379 : 1, 379
529 : 1, 23, 529
328 : 1, 2, 4, 8, 41, 82, 164, 328
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,529,328,287, is 1.
Now, the common factors can be found like this.
379:379
529:23x 23
328:2x 2x 2x 41
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 18873420776/(1x41)
LCM = 18873420776/41
LCM = 460327336
Thus, we can understand that the LCM of 379,529,328,287 is 460327336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 529, 328, 287?
Answer: LCM of 379, 529, 328, 287 is 460327336.
2. How to calculate the LCM of 379, 529, 328, 287?
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 379, 529, 328, 287.
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}.