Find the LCM of 231, 341, 155, 363 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 231, 341, 155, 363. So, keep reading to learn more.
Given numbers are 231,341,155,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,341,155,363 is 393855.
Find LCM of 231,341,155,363 with Prime Factorization
3 | 231, 341, 155, 363 |
11 | 77, 341, 155, 121 |
31 | 7, 31, 155, 11 |
7, 1, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 31 x 7 x 1 x 5 x 11 = 393855
Therefore, the lowest common multiple of 231,341,155,363 is 393855.
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.
231 x 341 x 155 x 363 = 4432050315
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
341 : 1, 11, 31, 341
155 : 1, 5, 31, 155
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,341,155,363, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
341:11x 31
155:5x 31
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 31 = 11253
Therefore, the value for common factors is 11253.
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 = 4432050315/(1x11253)
LCM = 4432050315/11253
LCM = 393855
Thus, we can understand that the LCM of 231,341,155,363 is 393855.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 231, 341, 155, 363?
Answer: LCM of 231, 341, 155, 363 is 393855.
2. How to calculate the LCM of 231, 341, 155, 363?
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 231, 341, 155, 363.
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}.