Find the LCM of 755, 882, 963, 882, 401 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 755, 882, 963, 882, 401. So, keep reading to learn more.
Given numbers are 755,882,963,882,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,882,963,882,401 is 28572200370.
Find LCM of 755,882,963,882,401 with Prime Factorization
2 | 755, 882, 963, 882, 401 |
3 | 755, 441, 963, 441, 401 |
3 | 755, 147, 321, 147, 401 |
7 | 755, 49, 107, 49, 401 |
7 | 755, 7, 107, 7, 401 |
755, 1, 107, 1, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 755 x 1 x 107 x 1 x 401 = 28572200370
Therefore, the lowest common multiple of 755,882,963,882,401 is 28572200370.
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.
755 x 882 x 963 x 882 x 401 = 226806126537060
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.
755 : 1, 5, 151, 755
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
963 : 1, 3, 9, 107, 321, 963
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,882,963,882,401, is 1.
Now, the common factors can be found like this.
755:5x 151
882:2x 3x 3x 7x 7
963:3x 3x 107
882:2x 3x 3x 7x 7
401:401
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 3x 3x 7x 7 = 7938
Therefore, the value for common factors is 7938.
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 = 226806126537060/(1x7938)
LCM = 226806126537060/7938
LCM = 28572200370
Thus, we can understand that the LCM of 755,882,963,882,401 is 28572200370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 755, 882, 963, 882, 401?
Answer: LCM of 755, 882, 963, 882, 401 is 28572200370.
2. How to calculate the LCM of 755, 882, 963, 882, 401?
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 755, 882, 963, 882, 401.
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}.