Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 924/91, 1137/357 quickly i.e. 50028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 924/91, 1137/357 is 50028.
LCM(924/91, 1137/357) = 50028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 924/91,1137/357
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 924,1137
Least Common Multiple of Numerators i.e. LCM of 924,1137 is 350196.
GCF of Denominators means GCF of 91,357 as per the given fractions.
GCF of 91,357 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 924,1137
3 | 924, 1137 |
308, 379 |
∴ So the LCM of the given numbers is 3 x 308 x 379 = 350196
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 924,1137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,1137) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,1137) x common factors =3 x 1 = 3
LCM(924,1137) = ( 924 × 1137 ) / 3
LCM(924,1137) = 1050588 / 3
LCM(924,1137) = 350196
Lets's calculate GCF of 91,357
7 | 91, 357 |
13, 51 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350196/7
Therefore the LCM of Fractions 924/91,1137/357 is 50028
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 91,357 . The biggest common factor number is the GCF number.
So the greatest common factor 91,357 is 7.
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 924/91, 1137/357?
Answer: LCM of Numerators as per given numbers 924/91, 1137/357 is
LCM of Numerators i.e. for 924,1137 is 350196
GCF of denominators i.e. for 91,357 is 7.
Thus, LCM of Fractions is 50028.Finally, LCM of Fractions for 924/91, 1137/357 is 50028.