Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7754/622, 6582/3388 quickly i.e. 12759207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7754/622, 6582/3388 is 12759207.
LCM(7754/622, 6582/3388) = 12759207
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7754/622,6582/3388
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 7754,6582
Least Common Multiple of Numerators i.e. LCM of 7754,6582 is 25518414.
GCF of Denominators means GCF of 622,3388 as per the given fractions.
GCF of 622,3388 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7754,6582
2 | 7754, 6582 |
3877, 3291 |
∴ So the LCM of the given numbers is 2 x 3877 x 3291 = 25518414
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 7754,6582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7754,6582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7754,6582) x common factors =2 x 1 = 2
LCM(7754,6582) = ( 7754 × 6582 ) / 2
LCM(7754,6582) = 51036828 / 2
LCM(7754,6582) = 25518414
Lets's calculate GCF of 622,3388
2 | 622, 3388 |
311, 1694 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25518414/2
Therefore the LCM of Fractions 7754/622,6582/3388 is 12759207
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 3388
List of positive integer factors of 3388 that divides 3388 without a remainder.
1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Greatest Common Factor
We found the factors 622,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 622,3388 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 7754/622, 6582/3388?
Answer: LCM of Numerators as per given numbers 7754/622, 6582/3388 is
LCM of Numerators i.e. for 7754,6582 is 25518414
GCF of denominators i.e. for 622,3388 is 2.
Thus, LCM of Fractions is 12759207.Finally, LCM of Fractions for 7754/622, 6582/3388 is 12759207.