Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/922, 27/381, 110/339 quickly i.e. 56430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/922, 27/381, 110/339 is 56430.
LCM(19/922, 27/381, 110/339) = 56430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/922,27/381,110/339
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 19,27,110
Least Common Multiple of Numerators i.e. LCM of 19,27,110 is 56430.
GCF of Denominators means GCF of 922,381,339 as per the given fractions.
GCF of 922,381,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,27,110
Given numbers has no common factors except 1. So, there LCM is their product i.e 56430
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 19,27,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,27,110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,27,110) x common factors =1 x 1 = 1
LCM(19,27,110) = ( 19 × 27 × 110 ) / 1
LCM(19,27,110) = 56430 / 1
LCM(19,27,110) = 56430
Lets's calculate GCF of 922,381,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56430/1
Therefore the LCM of Fractions 19/922,27/381,110/339 is 56430
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 922,381,339 . The biggest common factor number is the GCF number.
So the greatest common factor 922,381,339 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 19/922, 27/381, 110/339?
Answer: LCM of Numerators as per given numbers 19/922, 27/381, 110/339 is
LCM of Numerators i.e. for 19,27,110 is 56430
GCF of denominators i.e. for 922,381,339 is 1.
Thus, LCM of Fractions is 56430.Finally, LCM of Fractions for 19/922, 27/381, 110/339 is 56430.