Find the LCM of 777, 834, 917, 531, 882 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 777, 834, 917, 531, 882. So, keep reading to learn more.
Given numbers are 777,834,917,531,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,834,917,531,882 is 35059717854.
Find LCM of 777,834,917,531,882 with Prime Factorization
2 | 777, 834, 917, 531, 882 |
3 | 777, 417, 917, 531, 441 |
3 | 259, 139, 917, 177, 147 |
7 | 259, 139, 917, 59, 49 |
37, 139, 131, 59, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 37 x 139 x 131 x 59 x 7 = 35059717854
Therefore, the lowest common multiple of 777,834,917,531,882 is 35059717854.
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.
777 x 834 x 917 x 531 x 882 = 278304040325052
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
834 : 1, 2, 3, 6, 139, 278, 417, 834
917 : 1, 7, 131, 917
531 : 1, 3, 9, 59, 177, 531
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,834,917,531,882, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
834:2x 3x 139
917:7x 131
531:3x 3x 59
882:2x 3x 3x 7x 7
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 = 278304040325052/(1x7938)
LCM = 278304040325052/7938
LCM = 35059717854
Thus, we can understand that the LCM of 777,834,917,531,882 is 35059717854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 777, 834, 917, 531, 882?
Answer: LCM of 777, 834, 917, 531, 882 is 35059717854.
2. How to calculate the LCM of 777, 834, 917, 531, 882?
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 777, 834, 917, 531, 882.
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}.