Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 721/132, 3284/8772 quickly i.e. 2367764/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 721/132, 3284/8772 is 2367764/12.
LCM(721/132, 3284/8772) = 2367764/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 721/132,3284/8772
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 721,3284
Least Common Multiple of Numerators i.e. LCM of 721,3284 is 2367764.
GCF of Denominators means GCF of 132,8772 as per the given fractions.
GCF of 132,8772 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 721,3284
Given numbers has no common factors except 1. So, there LCM is their product i.e 2367764
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 721,3284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,3284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,3284) x common factors =1 x 1 = 1
LCM(721,3284) = ( 721 × 3284 ) / 1
LCM(721,3284) = 2367764 / 1
LCM(721,3284) = 2367764
Lets's calculate GCF of 132,8772
2 | 132, 8772 |
2 | 66, 4386 |
3 | 33, 2193 |
11, 731 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2367764/12
Therefore the LCM of Fractions 721/132,3284/8772 is 2367764/12
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 8772
List of positive integer factors of 8772 that divides 8772 without a remainder.
1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 132,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 132,8772 is 12.
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 721/132, 3284/8772?
Answer: LCM of Numerators as per given numbers 721/132, 3284/8772 is
LCM of Numerators i.e. for 721,3284 is 2367764
GCF of denominators i.e. for 132,8772 is 12.
Thus, LCM of Fractions is 2367764/12.Finally, LCM of Fractions for 721/132, 3284/8772 is 2367764/12.