Find the LCM of 993, 231, 385, 213, 278 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 993, 231, 385, 213, 278. So, keep reading to learn more.
Given numbers are 993,231,385,213,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,231,385,213,278 is 7545936090.
Find LCM of 993,231,385,213,278 with Prime Factorization
3 | 993, 231, 385, 213, 278 |
7 | 331, 77, 385, 71, 278 |
11 | 331, 11, 55, 71, 278 |
331, 1, 5, 71, 278 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 331 x 1 x 5 x 71 x 278 = 7545936090
Therefore, the lowest common multiple of 993,231,385,213,278 is 7545936090.
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.
993 x 231 x 385 x 213 x 278 = 5229333710370
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.
993 : 1, 3, 331, 993
231 : 1, 3, 7, 11, 21, 33, 77, 231
385 : 1, 5, 7, 11, 35, 55, 77, 385
213 : 1, 3, 71, 213
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,231,385,213,278, is 1.
Now, the common factors can be found like this.
993:3x 331
231:3x 7x 11
385:5x 7x 11
213:3x 71
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 5229333710370/(1x693)
LCM = 5229333710370/693
LCM = 7545936090
Thus, we can understand that the LCM of 993,231,385,213,278 is 7545936090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 231, 385, 213, 278?
Answer: LCM of 993, 231, 385, 213, 278 is 7545936090.
2. How to calculate the LCM of 993, 231, 385, 213, 278?
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 993, 231, 385, 213, 278.
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}.