Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 923/371, 2219/5946 quickly i.e. 2048137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 923/371, 2219/5946 is 2048137.
LCM(923/371, 2219/5946) = 2048137
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 923/371,2219/5946
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 923,2219
Least Common Multiple of Numerators i.e. LCM of 923,2219 is 2048137.
GCF of Denominators means GCF of 371,5946 as per the given fractions.
GCF of 371,5946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 923,2219
Given numbers has no common factors except 1. So, there LCM is their product i.e 2048137
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 923,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,2219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,2219) x common factors =1 x 1 = 1
LCM(923,2219) = ( 923 × 2219 ) / 1
LCM(923,2219) = 2048137 / 1
LCM(923,2219) = 2048137
Lets's calculate GCF of 371,5946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2048137/1
Therefore the LCM of Fractions 923/371,2219/5946 is 2048137
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 5946
List of positive integer factors of 5946 that divides 5946 without a remainder.
1,2,3,6,991,1982,2973,5946
Greatest Common Factor
We found the factors 371,5946 . The biggest common factor number is the GCF number.
So the greatest common factor 371,5946 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 923/371, 2219/5946?
Answer: LCM of Numerators as per given numbers 923/371, 2219/5946 is
LCM of Numerators i.e. for 923,2219 is 2048137
GCF of denominators i.e. for 371,5946 is 1.
Thus, LCM of Fractions is 2048137.Finally, LCM of Fractions for 923/371, 2219/5946 is 2048137.