Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3667/973, 3133/1862 quickly i.e. 11488711/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3667/973, 3133/1862 is 11488711/7.
LCM(3667/973, 3133/1862) = 11488711/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3667/973,3133/1862
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 3667,3133
Least Common Multiple of Numerators i.e. LCM of 3667,3133 is 11488711.
GCF of Denominators means GCF of 973,1862 as per the given fractions.
GCF of 973,1862 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3667,3133
Given numbers has no common factors except 1. So, there LCM is their product i.e 11488711
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 3667,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3667,3133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3667,3133) x common factors =1 x 1 = 1
LCM(3667,3133) = ( 3667 × 3133 ) / 1
LCM(3667,3133) = 11488711 / 1
LCM(3667,3133) = 11488711
Lets's calculate GCF of 973,1862
7 | 973, 1862 |
139, 266 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11488711/7
Therefore the LCM of Fractions 3667/973,3133/1862 is 11488711/7
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 1862
List of positive integer factors of 1862 that divides 1862 without a remainder.
1,2,7,14,19,38,49,98,133,266,931,1862
Greatest Common Factor
We found the factors 973,1862 . The biggest common factor number is the GCF number.
So the greatest common factor 973,1862 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 3667/973, 3133/1862?
Answer: LCM of Numerators as per given numbers 3667/973, 3133/1862 is
LCM of Numerators i.e. for 3667,3133 is 11488711
GCF of denominators i.e. for 973,1862 is 7.
Thus, LCM of Fractions is 11488711/7.Finally, LCM of Fractions for 3667/973, 3133/1862 is 11488711/7.