Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 769/48, 989/4694 quickly i.e. 760541/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 769/48, 989/4694 is 760541/2.
LCM(769/48, 989/4694) = 760541/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 769/48,989/4694
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 769,989
Least Common Multiple of Numerators i.e. LCM of 769,989 is 760541.
GCF of Denominators means GCF of 48,4694 as per the given fractions.
GCF of 48,4694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 769,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 760541
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 769,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,989) x common factors =1 x 1 = 1
LCM(769,989) = ( 769 × 989 ) / 1
LCM(769,989) = 760541 / 1
LCM(769,989) = 760541
Lets's calculate GCF of 48,4694
2 | 48, 4694 |
24, 2347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 760541/2
Therefore the LCM of Fractions 769/48,989/4694 is 760541/2
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 4694
List of positive integer factors of 4694 that divides 4694 without a remainder.
1,2,2347,4694
Greatest Common Factor
We found the factors 48,4694 . The biggest common factor number is the GCF number.
So the greatest common factor 48,4694 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 769/48, 989/4694?
Answer: LCM of Numerators as per given numbers 769/48, 989/4694 is
LCM of Numerators i.e. for 769,989 is 760541
GCF of denominators i.e. for 48,4694 is 2.
Thus, LCM of Fractions is 760541/2.Finally, LCM of Fractions for 769/48, 989/4694 is 760541/2.