Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6881/66, 3075/225 quickly i.e. 7053025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6881/66, 3075/225 is 7053025.
LCM(6881/66, 3075/225) = 7053025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6881/66,3075/225
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 6881,3075
Least Common Multiple of Numerators i.e. LCM of 6881,3075 is 21159075.
GCF of Denominators means GCF of 66,225 as per the given fractions.
GCF of 66,225 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6881,3075
Given numbers has no common factors except 1. So, there LCM is their product i.e 21159075
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 6881,3075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6881,3075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6881,3075) x common factors =1 x 1 = 1
LCM(6881,3075) = ( 6881 × 3075 ) / 1
LCM(6881,3075) = 21159075 / 1
LCM(6881,3075) = 21159075
Lets's calculate GCF of 66,225
3 | 66, 225 |
22, 75 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21159075/3
Therefore the LCM of Fractions 6881/66,3075/225 is 7053025
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 66,225 . The biggest common factor number is the GCF number.
So the greatest common factor 66,225 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 6881/66, 3075/225?
Answer: LCM of Numerators as per given numbers 6881/66, 3075/225 is
LCM of Numerators i.e. for 6881,3075 is 21159075
GCF of denominators i.e. for 66,225 is 3.
Thus, LCM of Fractions is 7053025.Finally, LCM of Fractions for 6881/66, 3075/225 is 7053025.