Find the LCM of 834, 591, 608, 194, 962 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 834, 591, 608, 194, 962. So, keep reading to learn more.
Given numbers are 834,591,608,194,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,591,608,194,962 is 2330358142944.
Find LCM of 834,591,608,194,962 with Prime Factorization
2 | 834, 591, 608, 194, 962 |
3 | 417, 591, 304, 97, 481 |
139, 197, 304, 97, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 197 x 304 x 97 x 481 = 2330358142944
Therefore, the lowest common multiple of 834,591,608,194,962 is 2330358142944.
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.
834 x 591 x 608 x 194 x 962 = 55928595430656
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
591 : 1, 3, 197, 591
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
194 : 1, 2, 97, 194
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,591,608,194,962, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
591:3x 197
608:2x 2x 2x 2x 2x 19
194:2x 97
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 55928595430656/(1x24)
LCM = 55928595430656/24
LCM = 2330358142944
Thus, we can understand that the LCM of 834,591,608,194,962 is 2330358142944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 591, 608, 194, 962?
Answer: LCM of 834, 591, 608, 194, 962 is 2330358142944.
2. How to calculate the LCM of 834, 591, 608, 194, 962?
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 834, 591, 608, 194, 962.
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}.