Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9788/825, 2701/5348 quickly i.e. 26437388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9788/825, 2701/5348 is 26437388.
LCM(9788/825, 2701/5348) = 26437388
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9788/825,2701/5348
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 9788,2701
Least Common Multiple of Numerators i.e. LCM of 9788,2701 is 26437388.
GCF of Denominators means GCF of 825,5348 as per the given fractions.
GCF of 825,5348 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9788,2701
Given numbers has no common factors except 1. So, there LCM is their product i.e 26437388
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 9788,2701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9788,2701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9788,2701) x common factors =1 x 1 = 1
LCM(9788,2701) = ( 9788 × 2701 ) / 1
LCM(9788,2701) = 26437388 / 1
LCM(9788,2701) = 26437388
Lets's calculate GCF of 825,5348
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26437388/1
Therefore the LCM of Fractions 9788/825,2701/5348 is 26437388
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 5348
List of positive integer factors of 5348 that divides 5348 without a remainder.
1,2,4,7,14,28,191,382,764,1337,2674,5348
Greatest Common Factor
We found the factors 825,5348 . The biggest common factor number is the GCF number.
So the greatest common factor 825,5348 is 1.
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 9788/825, 2701/5348?
Answer: LCM of Numerators as per given numbers 9788/825, 2701/5348 is
LCM of Numerators i.e. for 9788,2701 is 26437388
GCF of denominators i.e. for 825,5348 is 1.
Thus, LCM of Fractions is 26437388.Finally, LCM of Fractions for 9788/825, 2701/5348 is 26437388.