Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 112/333, 3767/7141 quickly i.e. 421904/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 112/333, 3767/7141 is 421904/37.
LCM(112/333, 3767/7141) = 421904/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 112/333,3767/7141
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 112,3767
Least Common Multiple of Numerators i.e. LCM of 112,3767 is 421904.
GCF of Denominators means GCF of 333,7141 as per the given fractions.
GCF of 333,7141 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 112,3767
Given numbers has no common factors except 1. So, there LCM is their product i.e 421904
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 112,3767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,3767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,3767) x common factors =1 x 1 = 1
LCM(112,3767) = ( 112 × 3767 ) / 1
LCM(112,3767) = 421904 / 1
LCM(112,3767) = 421904
Lets's calculate GCF of 333,7141
37 | 333, 7141 |
9, 193 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421904/37
Therefore the LCM of Fractions 112/333,3767/7141 is 421904/37
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 7141
List of positive integer factors of 7141 that divides 7141 without a remainder.
1,37,193,7141
Greatest Common Factor
We found the factors 333,7141 . The biggest common factor number is the GCF number.
So the greatest common factor 333,7141 is 37.
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 112/333, 3767/7141?
Answer: LCM of Numerators as per given numbers 112/333, 3767/7141 is
LCM of Numerators i.e. for 112,3767 is 421904
GCF of denominators i.e. for 333,7141 is 37.
Thus, LCM of Fractions is 421904/37.Finally, LCM of Fractions for 112/333, 3767/7141 is 421904/37.