Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4957/19, 2223/994 quickly i.e. 11019411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4957/19, 2223/994 is 11019411.
LCM(4957/19, 2223/994) = 11019411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4957/19,2223/994
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 4957,2223
Least Common Multiple of Numerators i.e. LCM of 4957,2223 is 11019411.
GCF of Denominators means GCF of 19,994 as per the given fractions.
GCF of 19,994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4957,2223
Given numbers has no common factors except 1. So, there LCM is their product i.e 11019411
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 4957,2223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4957,2223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4957,2223) x common factors =1 x 1 = 1
LCM(4957,2223) = ( 4957 × 2223 ) / 1
LCM(4957,2223) = 11019411 / 1
LCM(4957,2223) = 11019411
Lets's calculate GCF of 19,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11019411/1
Therefore the LCM of Fractions 4957/19,2223/994 is 11019411
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 19,994 . The biggest common factor number is the GCF number.
So the greatest common factor 19,994 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 4957/19, 2223/994?
Answer: LCM of Numerators as per given numbers 4957/19, 2223/994 is
LCM of Numerators i.e. for 4957,2223 is 11019411
GCF of denominators i.e. for 19,994 is 1.
Thus, LCM of Fractions is 11019411.Finally, LCM of Fractions for 4957/19, 2223/994 is 11019411.