Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/81, 279/1204 quickly i.e. 20646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/81, 279/1204 is 20646.
LCM(222/81, 279/1204) = 20646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/81,279/1204
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 222,279
Least Common Multiple of Numerators i.e. LCM of 222,279 is 20646.
GCF of Denominators means GCF of 81,1204 as per the given fractions.
GCF of 81,1204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,279
3 | 222, 279 |
74, 93 |
∴ So the LCM of the given numbers is 3 x 74 x 93 = 20646
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 222,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,279) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(222,279) x common factors =3 x 1 = 3
LCM(222,279) = ( 222 × 279 ) / 3
LCM(222,279) = 61938 / 3
LCM(222,279) = 20646
Lets's calculate GCF of 81,1204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20646/1
Therefore the LCM of Fractions 222/81,279/1204 is 20646
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 1204
List of positive integer factors of 1204 that divides 1204 without a remainder.
1,2,4,7,14,28,43,86,172,301,602,1204
Greatest Common Factor
We found the factors 81,1204 . The biggest common factor number is the GCF number.
So the greatest common factor 81,1204 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 222/81, 279/1204?
Answer: LCM of Numerators as per given numbers 222/81, 279/1204 is
LCM of Numerators i.e. for 222,279 is 20646
GCF of denominators i.e. for 81,1204 is 1.
Thus, LCM of Fractions is 20646.Finally, LCM of Fractions for 222/81, 279/1204 is 20646.