Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7744/707, 7103/404 quickly i.e. 55005632/101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7744/707, 7103/404 is 55005632/101.
LCM(7744/707, 7103/404) = 55005632/101
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7744/707,7103/404
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 7744,7103
Least Common Multiple of Numerators i.e. LCM of 7744,7103 is 55005632.
GCF of Denominators means GCF of 707,404 as per the given fractions.
GCF of 707,404 is 101 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7744,7103
Given numbers has no common factors except 1. So, there LCM is their product i.e 55005632
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 7744,7103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7744,7103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7744,7103) x common factors =1 x 1 = 1
LCM(7744,7103) = ( 7744 × 7103 ) / 1
LCM(7744,7103) = 55005632 / 1
LCM(7744,7103) = 55005632
Lets's calculate GCF of 707,404
101 | 707, 404 |
7, 4 |
∴ So the GCF of the given numbers is 101 = 101
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55005632/101
Therefore the LCM of Fractions 7744/707,7103/404 is 55005632/101
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 707,404 . The biggest common factor number is the GCF number.
So the greatest common factor 707,404 is 101.
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 7744/707, 7103/404?
Answer: LCM of Numerators as per given numbers 7744/707, 7103/404 is
LCM of Numerators i.e. for 7744,7103 is 55005632
GCF of denominators i.e. for 707,404 is 101.
Thus, LCM of Fractions is 55005632/101.Finally, LCM of Fractions for 7744/707, 7103/404 is 55005632/101.