Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 774/796, 7446/7809 quickly i.e. 960534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 774/796, 7446/7809 is 960534.
LCM(774/796, 7446/7809) = 960534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 774/796,7446/7809
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 774,7446
Least Common Multiple of Numerators i.e. LCM of 774,7446 is 960534.
GCF of Denominators means GCF of 796,7809 as per the given fractions.
GCF of 796,7809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 774,7446
2 | 774, 7446 |
3 | 387, 3723 |
129, 1241 |
∴ So the LCM of the given numbers is 2 x 3 x 129 x 1241 = 960534
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 774,7446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,7446) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(774,7446) x common factors =6 x 1 = 6
LCM(774,7446) = ( 774 × 7446 ) / 6
LCM(774,7446) = 5763204 / 6
LCM(774,7446) = 960534
Lets's calculate GCF of 796,7809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960534/1
Therefore the LCM of Fractions 774/796,7446/7809 is 960534
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 7809
List of positive integer factors of 7809 that divides 7809 without a remainder.
1,3,19,57,137,411,2603,7809
Greatest Common Factor
We found the factors 796,7809 . The biggest common factor number is the GCF number.
So the greatest common factor 796,7809 is 1.
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 774/796, 7446/7809?
Answer: LCM of Numerators as per given numbers 774/796, 7446/7809 is
LCM of Numerators i.e. for 774,7446 is 960534
GCF of denominators i.e. for 796,7809 is 1.
Thus, LCM of Fractions is 960534.Finally, LCM of Fractions for 774/796, 7446/7809 is 960534.