Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 819/921, 1056/219 quickly i.e. 96096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 819/921, 1056/219 is 96096.
LCM(819/921, 1056/219) = 96096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 819/921,1056/219
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 819,1056
Least Common Multiple of Numerators i.e. LCM of 819,1056 is 288288.
GCF of Denominators means GCF of 921,219 as per the given fractions.
GCF of 921,219 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 819,1056
3 | 819, 1056 |
273, 352 |
∴ So the LCM of the given numbers is 3 x 273 x 352 = 288288
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 819,1056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,1056) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(819,1056) x common factors =3 x 1 = 3
LCM(819,1056) = ( 819 × 1056 ) / 3
LCM(819,1056) = 864864 / 3
LCM(819,1056) = 288288
Lets's calculate GCF of 921,219
3 | 921, 219 |
307, 73 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288288/3
Therefore the LCM of Fractions 819/921,1056/219 is 96096
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 921,219 . The biggest common factor number is the GCF number.
So the greatest common factor 921,219 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 819/921, 1056/219?
Answer: LCM of Numerators as per given numbers 819/921, 1056/219 is
LCM of Numerators i.e. for 819,1056 is 288288
GCF of denominators i.e. for 921,219 is 3.
Thus, LCM of Fractions is 96096.Finally, LCM of Fractions for 819/921, 1056/219 is 96096.