Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/831, 3134/444 quickly i.e. 398018/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/831, 3134/444 is 398018/3.
LCM(127/831, 3134/444) = 398018/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/831,3134/444
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 127,3134
Least Common Multiple of Numerators i.e. LCM of 127,3134 is 398018.
GCF of Denominators means GCF of 831,444 as per the given fractions.
GCF of 831,444 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,3134
Given numbers has no common factors except 1. So, there LCM is their product i.e 398018
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 127,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,3134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,3134) x common factors =1 x 1 = 1
LCM(127,3134) = ( 127 × 3134 ) / 1
LCM(127,3134) = 398018 / 1
LCM(127,3134) = 398018
Lets's calculate GCF of 831,444
3 | 831, 444 |
277, 148 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398018/3
Therefore the LCM of Fractions 127/831,3134/444 is 398018/3
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 831,444 . The biggest common factor number is the GCF number.
So the greatest common factor 831,444 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 127/831, 3134/444?
Answer: LCM of Numerators as per given numbers 127/831, 3134/444 is
LCM of Numerators i.e. for 127,3134 is 398018
GCF of denominators i.e. for 831,444 is 3.
Thus, LCM of Fractions is 398018/3.Finally, LCM of Fractions for 127/831, 3134/444 is 398018/3.