Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 914/108, 6052/3949 quickly i.e. 2765764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 914/108, 6052/3949 is 2765764.
LCM(914/108, 6052/3949) = 2765764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 914/108,6052/3949
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 914,6052
Least Common Multiple of Numerators i.e. LCM of 914,6052 is 2765764.
GCF of Denominators means GCF of 108,3949 as per the given fractions.
GCF of 108,3949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 914,6052
2 | 914, 6052 |
457, 3026 |
∴ So the LCM of the given numbers is 2 x 457 x 3026 = 2765764
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 914,6052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,6052) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,6052) x common factors =2 x 1 = 2
LCM(914,6052) = ( 914 × 6052 ) / 2
LCM(914,6052) = 5531528 / 2
LCM(914,6052) = 2765764
Lets's calculate GCF of 108,3949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2765764/1
Therefore the LCM of Fractions 914/108,6052/3949 is 2765764
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 3949
List of positive integer factors of 3949 that divides 3949 without a remainder.
1,11,359,3949
Greatest Common Factor
We found the factors 108,3949 . The biggest common factor number is the GCF number.
So the greatest common factor 108,3949 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 914/108, 6052/3949?
Answer: LCM of Numerators as per given numbers 914/108, 6052/3949 is
LCM of Numerators i.e. for 914,6052 is 2765764
GCF of denominators i.e. for 108,3949 is 1.
Thus, LCM of Fractions is 2765764.Finally, LCM of Fractions for 914/108, 6052/3949 is 2765764.