Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 846/222, 3127/919 quickly i.e. 2645442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 846/222, 3127/919 is 2645442.
LCM(846/222, 3127/919) = 2645442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 846/222,3127/919
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 846,3127
Least Common Multiple of Numerators i.e. LCM of 846,3127 is 2645442.
GCF of Denominators means GCF of 222,919 as per the given fractions.
GCF of 222,919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 846,3127
Given numbers has no common factors except 1. So, there LCM is their product i.e 2645442
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 846,3127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,3127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(846,3127) x common factors =1 x 1 = 1
LCM(846,3127) = ( 846 × 3127 ) / 1
LCM(846,3127) = 2645442 / 1
LCM(846,3127) = 2645442
Lets's calculate GCF of 222,919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2645442/1
Therefore the LCM of Fractions 846/222,3127/919 is 2645442
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Greatest Common Factor
We found the factors 222,919 . The biggest common factor number is the GCF number.
So the greatest common factor 222,919 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 846/222, 3127/919?
Answer: LCM of Numerators as per given numbers 846/222, 3127/919 is
LCM of Numerators i.e. for 846,3127 is 2645442
GCF of denominators i.e. for 222,919 is 1.
Thus, LCM of Fractions is 2645442.Finally, LCM of Fractions for 846/222, 3127/919 is 2645442.