Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 138/34, 583/5062 quickly i.e. 40227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 138/34, 583/5062 is 40227.
LCM(138/34, 583/5062) = 40227
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 138/34,583/5062
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 138,583
Least Common Multiple of Numerators i.e. LCM of 138,583 is 80454.
GCF of Denominators means GCF of 34,5062 as per the given fractions.
GCF of 34,5062 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 138,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 80454
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 138,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,583) x common factors =1 x 1 = 1
LCM(138,583) = ( 138 × 583 ) / 1
LCM(138,583) = 80454 / 1
LCM(138,583) = 80454
Lets's calculate GCF of 34,5062
2 | 34, 5062 |
17, 2531 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80454/2
Therefore the LCM of Fractions 138/34,583/5062 is 40227
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 5062
List of positive integer factors of 5062 that divides 5062 without a remainder.
1,2,2531,5062
Greatest Common Factor
We found the factors 34,5062 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5062 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 138/34, 583/5062?
Answer: LCM of Numerators as per given numbers 138/34, 583/5062 is
LCM of Numerators i.e. for 138,583 is 80454
GCF of denominators i.e. for 34,5062 is 2.
Thus, LCM of Fractions is 40227.Finally, LCM of Fractions for 138/34, 583/5062 is 40227.