Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 583/265, 5122/2969 quickly i.e. 2986126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 583/265, 5122/2969 is 2986126.
LCM(583/265, 5122/2969) = 2986126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 583/265,5122/2969
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 583,5122
Least Common Multiple of Numerators i.e. LCM of 583,5122 is 2986126.
GCF of Denominators means GCF of 265,2969 as per the given fractions.
GCF of 265,2969 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 583,5122
Given numbers has no common factors except 1. So, there LCM is their product i.e 2986126
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 583,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,5122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,5122) x common factors =1 x 1 = 1
LCM(583,5122) = ( 583 × 5122 ) / 1
LCM(583,5122) = 2986126 / 1
LCM(583,5122) = 2986126
Lets's calculate GCF of 265,2969
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2986126/1
Therefore the LCM of Fractions 583/265,5122/2969 is 2986126
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 2969
List of positive integer factors of 2969 that divides 2969 without a remainder.
1,2969
Greatest Common Factor
We found the factors 265,2969 . The biggest common factor number is the GCF number.
So the greatest common factor 265,2969 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 583/265, 5122/2969?
Answer: LCM of Numerators as per given numbers 583/265, 5122/2969 is
LCM of Numerators i.e. for 583,5122 is 2986126
GCF of denominators i.e. for 265,2969 is 1.
Thus, LCM of Fractions is 2986126.Finally, LCM of Fractions for 583/265, 5122/2969 is 2986126.