Find the LCM of 985, 394, 751, 923, 967 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 985, 394, 751, 923, 967. So, keep reading to learn more.
Given numbers are 985,394,751,923,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,394,751,923,967 is 1320487633270.
Find LCM of 985,394,751,923,967 with Prime Factorization
197 | 985, 394, 751, 923, 967 |
5, 2, 751, 923, 967 |
Multiply the prime numbers at the bottom and the left side.
197 x 5 x 2 x 751 x 923 x 967 = 1320487633270
Therefore, the lowest common multiple of 985,394,751,923,967 is 1320487633270.
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.
985 x 394 x 751 x 923 x 967 = 260136063754190
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.
985 : 1, 5, 197, 985
394 : 1, 2, 197, 394
751 : 1, 751
923 : 1, 13, 71, 923
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,394,751,923,967, is 1.
Now, the common factors can be found like this.
985:5x 197
394:2x 197
751:751
923:13x 71
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
197 = 197
Therefore, the value for common factors is 197.
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 = 260136063754190/(1x197)
LCM = 260136063754190/197
LCM = 1320487633270
Thus, we can understand that the LCM of 985,394,751,923,967 is 1320487633270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 394, 751, 923, 967?
Answer: LCM of 985, 394, 751, 923, 967 is 1320487633270.
2. How to calculate the LCM of 985, 394, 751, 923, 967?
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 985, 394, 751, 923, 967.
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}.