Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3347/721, 2888/7945 quickly i.e. 9666136/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3347/721, 2888/7945 is 9666136/7.
LCM(3347/721, 2888/7945) = 9666136/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3347/721,2888/7945
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 3347,2888
Least Common Multiple of Numerators i.e. LCM of 3347,2888 is 9666136.
GCF of Denominators means GCF of 721,7945 as per the given fractions.
GCF of 721,7945 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3347,2888
Given numbers has no common factors except 1. So, there LCM is their product i.e 9666136
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 3347,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3347,2888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3347,2888) x common factors =1 x 1 = 1
LCM(3347,2888) = ( 3347 × 2888 ) / 1
LCM(3347,2888) = 9666136 / 1
LCM(3347,2888) = 9666136
Lets's calculate GCF of 721,7945
7 | 721, 7945 |
103, 1135 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9666136/7
Therefore the LCM of Fractions 3347/721,2888/7945 is 9666136/7
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 7945
List of positive integer factors of 7945 that divides 7945 without a remainder.
1,5,7,35,227,1135,1589,7945
Greatest Common Factor
We found the factors 721,7945 . The biggest common factor number is the GCF number.
So the greatest common factor 721,7945 is 7.
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 3347/721, 2888/7945?
Answer: LCM of Numerators as per given numbers 3347/721, 2888/7945 is
LCM of Numerators i.e. for 3347,2888 is 9666136
GCF of denominators i.e. for 721,7945 is 7.
Thus, LCM of Fractions is 9666136/7.Finally, LCM of Fractions for 3347/721, 2888/7945 is 9666136/7.