Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 941/542, 118/696 quickly i.e. 55519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 941/542, 118/696 is 55519.
LCM(941/542, 118/696) = 55519
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 941/542,118/696
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 941,118
Least Common Multiple of Numerators i.e. LCM of 941,118 is 111038.
GCF of Denominators means GCF of 542,696 as per the given fractions.
GCF of 542,696 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 941,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 111038
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 941,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,118) x common factors =1 x 1 = 1
LCM(941,118) = ( 941 × 118 ) / 1
LCM(941,118) = 111038 / 1
LCM(941,118) = 111038
Lets's calculate GCF of 542,696
2 | 542, 696 |
271, 348 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111038/2
Therefore the LCM of Fractions 941/542,118/696 is 55519
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 542,696 . The biggest common factor number is the GCF number.
So the greatest common factor 542,696 is 2.
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 941/542, 118/696?
Answer: LCM of Numerators as per given numbers 941/542, 118/696 is
LCM of Numerators i.e. for 941,118 is 111038
GCF of denominators i.e. for 542,696 is 2.
Thus, LCM of Fractions is 55519.Finally, LCM of Fractions for 941/542, 118/696 is 55519.