Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3890/337, 9467/7911 quickly i.e. 36826630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3890/337, 9467/7911 is 36826630.
LCM(3890/337, 9467/7911) = 36826630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3890/337,9467/7911
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 3890,9467
Least Common Multiple of Numerators i.e. LCM of 3890,9467 is 36826630.
GCF of Denominators means GCF of 337,7911 as per the given fractions.
GCF of 337,7911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3890,9467
Given numbers has no common factors except 1. So, there LCM is their product i.e 36826630
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 3890,9467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3890,9467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3890,9467) x common factors =1 x 1 = 1
LCM(3890,9467) = ( 3890 × 9467 ) / 1
LCM(3890,9467) = 36826630 / 1
LCM(3890,9467) = 36826630
Lets's calculate GCF of 337,7911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36826630/1
Therefore the LCM of Fractions 3890/337,9467/7911 is 36826630
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 7911
List of positive integer factors of 7911 that divides 7911 without a remainder.
1,3,9,27,293,879,2637,7911
Greatest Common Factor
We found the factors 337,7911 . The biggest common factor number is the GCF number.
So the greatest common factor 337,7911 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 3890/337, 9467/7911?
Answer: LCM of Numerators as per given numbers 3890/337, 9467/7911 is
LCM of Numerators i.e. for 3890,9467 is 36826630
GCF of denominators i.e. for 337,7911 is 1.
Thus, LCM of Fractions is 36826630.Finally, LCM of Fractions for 3890/337, 9467/7911 is 36826630.