Find the LCM of 466, 693, 514, 385, 243 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 466, 693, 514, 385, 243. So, keep reading to learn more.
Given numbers are 466,693,514,385,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,693,514,385,243 is 11204333910.
Find LCM of 466,693,514,385,243 with Prime Factorization
2 | 466, 693, 514, 385, 243 |
3 | 233, 693, 257, 385, 243 |
3 | 233, 231, 257, 385, 81 |
7 | 233, 77, 257, 385, 27 |
11 | 233, 11, 257, 55, 27 |
233, 1, 257, 5, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 233 x 1 x 257 x 5 x 27 = 11204333910
Therefore, the lowest common multiple of 466,693,514,385,243 is 11204333910.
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.
466 x 693 x 514 x 385 x 243 = 15529206799260
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.
466 : 1, 2, 233, 466
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
514 : 1, 2, 257, 514
385 : 1, 5, 7, 11, 35, 55, 77, 385
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,693,514,385,243, is 1.
Now, the common factors can be found like this.
466:2x 233
693:3x 3x 7x 11
514:2x 257
385:5x 7x 11
243:3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 15529206799260/(1x1386)
LCM = 15529206799260/1386
LCM = 11204333910
Thus, we can understand that the LCM of 466,693,514,385,243 is 11204333910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 693, 514, 385, 243?
Answer: LCM of 466, 693, 514, 385, 243 is 11204333910.
2. How to calculate the LCM of 466, 693, 514, 385, 243?
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 466, 693, 514, 385, 243.
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}.