Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7082/345, 8646/5703 quickly i.e. 10205162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7082/345, 8646/5703 is 10205162.
LCM(7082/345, 8646/5703) = 10205162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7082/345,8646/5703
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 7082,8646
Least Common Multiple of Numerators i.e. LCM of 7082,8646 is 30615486.
GCF of Denominators means GCF of 345,5703 as per the given fractions.
GCF of 345,5703 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7082,8646
2 | 7082, 8646 |
3541, 4323 |
∴ So the LCM of the given numbers is 2 x 3541 x 4323 = 30615486
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 7082,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7082,8646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7082,8646) x common factors =2 x 1 = 2
LCM(7082,8646) = ( 7082 × 8646 ) / 2
LCM(7082,8646) = 61230972 / 2
LCM(7082,8646) = 30615486
Lets's calculate GCF of 345,5703
3 | 345, 5703 |
115, 1901 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30615486/3
Therefore the LCM of Fractions 7082/345,8646/5703 is 10205162
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 5703
List of positive integer factors of 5703 that divides 5703 without a remainder.
1,3,1901,5703
Greatest Common Factor
We found the factors 345,5703 . The biggest common factor number is the GCF number.
So the greatest common factor 345,5703 is 3.
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 7082/345, 8646/5703?
Answer: LCM of Numerators as per given numbers 7082/345, 8646/5703 is
LCM of Numerators i.e. for 7082,8646 is 30615486
GCF of denominators i.e. for 345,5703 is 3.
Thus, LCM of Fractions is 10205162.Finally, LCM of Fractions for 7082/345, 8646/5703 is 10205162.