Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 389/704, 7041/473 quickly i.e. 2738949/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 389/704, 7041/473 is 2738949/11.
LCM(389/704, 7041/473) = 2738949/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 389/704,7041/473
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 389,7041
Least Common Multiple of Numerators i.e. LCM of 389,7041 is 2738949.
GCF of Denominators means GCF of 704,473 as per the given fractions.
GCF of 704,473 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 389,7041
Given numbers has no common factors except 1. So, there LCM is their product i.e 2738949
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 389,7041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7041) x common factors =1 x 1 = 1
LCM(389,7041) = ( 389 × 7041 ) / 1
LCM(389,7041) = 2738949 / 1
LCM(389,7041) = 2738949
Lets's calculate GCF of 704,473
11 | 704, 473 |
64, 43 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2738949/11
Therefore the LCM of Fractions 389/704,7041/473 is 2738949/11
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 704,473 . The biggest common factor number is the GCF number.
So the greatest common factor 704,473 is 11.
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 389/704, 7041/473?
Answer: LCM of Numerators as per given numbers 389/704, 7041/473 is
LCM of Numerators i.e. for 389,7041 is 2738949
GCF of denominators i.e. for 704,473 is 11.
Thus, LCM of Fractions is 2738949/11.Finally, LCM of Fractions for 389/704, 7041/473 is 2738949/11.