Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/411, 3117/8471 quickly i.e. 137148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/411, 3117/8471 is 137148.
LCM(44/411, 3117/8471) = 137148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/411,3117/8471
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 44,3117
Least Common Multiple of Numerators i.e. LCM of 44,3117 is 137148.
GCF of Denominators means GCF of 411,8471 as per the given fractions.
GCF of 411,8471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,3117
Given numbers has no common factors except 1. So, there LCM is their product i.e 137148
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 44,3117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,3117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,3117) x common factors =1 x 1 = 1
LCM(44,3117) = ( 44 × 3117 ) / 1
LCM(44,3117) = 137148 / 1
LCM(44,3117) = 137148
Lets's calculate GCF of 411,8471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137148/1
Therefore the LCM of Fractions 44/411,3117/8471 is 137148
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 8471
List of positive integer factors of 8471 that divides 8471 without a remainder.
1,43,197,8471
Greatest Common Factor
We found the factors 411,8471 . The biggest common factor number is the GCF number.
So the greatest common factor 411,8471 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 44/411, 3117/8471?
Answer: LCM of Numerators as per given numbers 44/411, 3117/8471 is
LCM of Numerators i.e. for 44,3117 is 137148
GCF of denominators i.e. for 411,8471 is 1.
Thus, LCM of Fractions is 137148.Finally, LCM of Fractions for 44/411, 3117/8471 is 137148.