Find the LCM of 733, 290, 965, 622, 261 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 733, 290, 965, 622, 261. So, keep reading to learn more.
Given numbers are 733,290,965,622,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,290,965,622,261 is 114831801990.
Find LCM of 733,290,965,622,261 with Prime Factorization
2 | 733, 290, 965, 622, 261 |
5 | 733, 145, 965, 311, 261 |
29 | 733, 29, 193, 311, 261 |
733, 1, 193, 311, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 733 x 1 x 193 x 311 x 9 = 114831801990
Therefore, the lowest common multiple of 733,290,965,622,261 is 114831801990.
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.
733 x 290 x 965 x 622 x 261 = 33301222577100
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.
733 : 1, 733
290 : 1, 2, 5, 10, 29, 58, 145, 290
965 : 1, 5, 193, 965
622 : 1, 2, 311, 622
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,290,965,622,261, is 1.
Now, the common factors can be found like this.
733:733
290:2x 5x 29
965:5x 193
622:2x 311
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 29 = 290
Therefore, the value for common factors is 290.
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 = 33301222577100/(1x290)
LCM = 33301222577100/290
LCM = 114831801990
Thus, we can understand that the LCM of 733,290,965,622,261 is 114831801990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 733, 290, 965, 622, 261?
Answer: LCM of 733, 290, 965, 622, 261 is 114831801990.
2. How to calculate the LCM of 733, 290, 965, 622, 261?
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 733, 290, 965, 622, 261.
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}.