Find the LCM of 384, 385, 443, 715, 595 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 384, 385, 443, 715, 595. So, keep reading to learn more.
Given numbers are 384,385,443,715,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,385,443,715,595 is 14473979520.
Find LCM of 384,385,443,715,595 with Prime Factorization
5 | 384, 385, 443, 715, 595 |
7 | 384, 77, 443, 143, 119 |
11 | 384, 11, 443, 143, 17 |
384, 1, 443, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 384 x 1 x 443 x 13 x 17 = 14473979520
Therefore, the lowest common multiple of 384,385,443,715,595 is 14473979520.
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.
384 x 385 x 443 x 715 x 595 = 27862410576000
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
385 : 1, 5, 7, 11, 35, 55, 77, 385
443 : 1, 443
715 : 1, 5, 11, 13, 55, 65, 143, 715
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,385,443,715,595, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
385:5x 7x 11
443:443
715:5x 11x 13
595:5x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11 = 1925
Therefore, the value for common factors is 1925.
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 = 27862410576000/(1x1925)
LCM = 27862410576000/1925
LCM = 14473979520
Thus, we can understand that the LCM of 384,385,443,715,595 is 14473979520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 384, 385, 443, 715, 595?
Answer: LCM of 384, 385, 443, 715, 595 is 14473979520.
2. How to calculate the LCM of 384, 385, 443, 715, 595?
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 384, 385, 443, 715, 595.
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}.