Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2323/38, 5062/656 quickly i.e. 5879513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2323/38, 5062/656 is 5879513.
LCM(2323/38, 5062/656) = 5879513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2323/38,5062/656
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 2323,5062
Least Common Multiple of Numerators i.e. LCM of 2323,5062 is 11759026.
GCF of Denominators means GCF of 38,656 as per the given fractions.
GCF of 38,656 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2323,5062
Given numbers has no common factors except 1. So, there LCM is their product i.e 11759026
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 2323,5062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2323,5062) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2323,5062) x common factors =1 x 1 = 1
LCM(2323,5062) = ( 2323 × 5062 ) / 1
LCM(2323,5062) = 11759026 / 1
LCM(2323,5062) = 11759026
Lets's calculate GCF of 38,656
2 | 38, 656 |
19, 328 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11759026/2
Therefore the LCM of Fractions 2323/38,5062/656 is 5879513
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 38,656 . The biggest common factor number is the GCF number.
So the greatest common factor 38,656 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 2323/38, 5062/656?
Answer: LCM of Numerators as per given numbers 2323/38, 5062/656 is
LCM of Numerators i.e. for 2323,5062 is 11759026
GCF of denominators i.e. for 38,656 is 2.
Thus, LCM of Fractions is 5879513.Finally, LCM of Fractions for 2323/38, 5062/656 is 5879513.